MATH221/ MATH 221 Week 3 quiz Summer 2022 DeVry University, Keller Graduate School of Management.

Question 1 2 / 2 pts Let x represent the number of cars in a parking lot. This would be considered what type of variable: Homework Help: 3DA. Discrete versus continuous variables (Links to an external site.) (DOCX) Lagging Continuous NonsensicalCorrect! Discrete Question 2 2 / 2 pts Let x represent the number of players on a sports field. This would be considered what type of variable: Homework Help: 3DA. Discrete versus continuous variables (Links to an external site.) (DOCX) Correct! Discrete Continuous Inferential Distributed Question 3 2 / 2 pts Consider the following table. Age Group Frequency 5410 70 and over 5279If you created the probability distribution for these data, what would be the probability of 40-49? Homework Help: 3DB. Probabilities from a probability distribution (Links to an external site.) (DOCX) 23.7%Correct! 16.5% 18.9% 42.5% Question 4 2 / 2 pts Consider the following table. Weekly hours worked Probability 1-30 (average=22) 0.08 31-40 (average=35) 0.41 41-50 (average=46) 0.47 51 and over (average=61) 0.04 Find the mean of this variable. Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) 41.0 35.9 39.0Correct! 40.2 Question 52 / 2 pts Consider the following table. Defects in batch Probability 0 0.09 1 0.24 2 0.41 3 0.12 4 0.10 5 0.04 Find the variance of this variable. Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) 1.43Correct! 1.48 1.22 2.02 Question 6 2 / 2 pts Consider the following table. Defects in batch Probability 2 0.15 3 0.44 4 0.18 5 0.10 6 0.07 7 0.06 Find the standard deviation of this variable.Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) 3.68 1.86Correct! 1.36 0.93 Question 7 0 / 2 pts Fifteen golfers are randomly selected. The random variable represents the number of golfers who only play on the weekends. For this to be a binomial experiment, what assumption needs to be made? Homework Help: 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (Links to an external site.) (DOCX) You Answered The probability of being selected is the same for all fifteen golfers The probability of golfing on the weekend is the same for all golfers The probability of golfing during the week is the same for all golfers All fifteen golfers play during the week Question 8 2 / 2 pts A survey found that 39% of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of p? Homework Help: 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (Links to an external site.) (DOCX)0.10 x, the counter! 0.39 10 Question 9 2 / 2 pts Thirty-five percent of US adults have little confidence in their cars. You randomly select ten US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7. Homework Help: 3VB. Calculating binomial probabilities and cumulative probabilities (Links to an external site.) (8:23) 3DF. Binomial probabilities versus cumulative probabilities (Links to an external site.) (DOCX) (1) 0.021 (2) 0.026 (1) 0.069 (2) 0.974 (1) 0.021 (2) 0.005Correct! (1) 0.069 (2) 0.005 Question 10 2 / 2 pts Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line? Homework Help: 3VC. Using binomials to assess quality of production (Links to an external site.) (3:08) No, the probability of five or less having straight stitching is not unusual Yes, the probability of five or less having straight stitching is unusual Yes, the probability of exactly five having straight stitching is unusualCorrect! No, the probability of exactly five have straight stitching is not unusualQuestion 11 2 / 2 pts A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length? Homework Help: 3VC. Using binomials to assess quality of production (Links to an external site.) (3:08) 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (DOCX) No, as the probability of being about right could be different for each rod selected Yes, as each rod measured would have two outcomes: correct or incorrect No, as there are three possible outcomes, rather than two possible outcomes Yes, all production line quality questions are answered with binomial experiments Question 12 2 / 2 pts In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are not returned, once taken. You are the 5th employee to take a pen. Is this a binomial experiment? Homework Help: 3VC. Using binomials to assess quality of production (Links to an external site.) (3:08) 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (DOCX) Correct! No, the probability of getting the broken pen changes as there is no replacement No, binomial does not include systematic selection such as “fifth” Yes, the probability of success is one out of 12 with 5 selected Yes, you are finding the probability of exactly 5 not being broken Question 13 2 / 2 pts Eighty-two percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employeeswho judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Homework Help: 3VD. Finding unusual outcomes from a probability distribution (Links to an external site.) (2:32) 1, 2, 3 0, 1, 2, 7 1, 2, 3, 4Correct! 0, 1, 2, 3 Question 14 0 / 2 pts The probability of a potential employee passing a drug test is 91%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test? Homework Help: 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) 15 employees 14 employees 13 employees Answered 12 employees Question 15 2 / 2 pts Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the standard deviation of the number of defective candles in the group? Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) Correct! 1.271.60 1.67 0.25 1. Let x represent the number of cars in a parking lot. This would be considered what type of variable: a. Discrete 1. Let x represent the length of cars in a parking lot. This would be considered what type of variable: a. Continuous 1. Let x represent the number of pets in pet stores. This would be considered what type of variable: a. Discrete 2. Let x represent the height of corn in Oklahoma. This would be considered what type of variable: a. Continuous 2. Let x represent the inches of rain on crops in Akron, Ohio. This would be considered what type of variable: a. Continuous 3. Consider the following table. Age Group Frequency 5410 70 and over 5279 If you created the probability distribution for these data, what would be the probability of 40-49? a. 16.5% 3. If you created the probability distribution for these data, what would be the probability of 30-39? a. 18.9%3. If you created the probability distribution for these data, what would be the probability of 18-29? a. 23.7% 4. Consider the following table. Weekly hours worked Probability 1-30 (average=23) 0.08 31-40 (average=36) 0.16 41-50 (average=43) 0.72 51 and over (average=54) 0.04 Find the mean of this variable. a. 40.7 b. Consider the following table. Weekly hours worked Probability 1-30 (average=22) 0.08 31-40 (average=35) 0.16 41-50 (average=46) 0.72 51 and over (average=61) 0.04 42.9 49.2You Answered 41.0 44.2 Weekly hours worked Probability 1-30 (average=22) 0.08 31-40 (average=35) 0.41 41-50 (average=46) 0.47 51 and over (average=61) 0.04 Find the mean of this variable. a. 40.2 5. Consider the following table. Defects in batch Probability 0 0.051 0.18 2 0.29 3 0.24 4 0.13 5 0.11 Find the variance of this variable. a. 1.83 Defects in batch Probability 0 0.37 1 0.24 2 0.16 3 0.09 4 0.10 5 0.04 Find the variance of this variable. a. 2.25 Defects in batch Probability 0 0.28 1 0.35 2 0.16 3 0.09 4 0.10 5 0.02 Find the variance of this variable. a. 1.83 6. Consider the following table. Defects in batch Probability Defects in batch Probability 2 0.18 3 0.29 4 0.18 5 0.14 6 0.11 7 0.10Find the standard deviation of this variable. a. 1.58 Defects in batch Probability 2 0.35 3 0.23 4 0.20 5 0.09 6 0.07 7 0.06 Find the standard deviation of this variable. b. 1.51 7. The standard deviation of samples from supplier A is 0.0841, while the standard deviation of samples from supplier B is 0.0926. Which supplier would you be likely to choose based on these data and why? a. Supplier A, as their standard deviation is lower and, thus, easier to fit into our production line 7. The standard deviation of the number of video game A’s outcomes is 1.8940, while the standard deviation of the number of video game B’s outcomes is 1.6179. Which game would you be likely to choose if you wanted players to have the most choice and why? a. Game A, as the standard deviation is higher and, thus offers more choices in outcomes 7. The standard deviation of the number of video game A’s outcomes is 0.5479, while the standard deviation of the number of video game B’s outcomes is 0.2498. Which game would you be likely to choose if you wanted players to have the most choice and why? a. Game A, as the standard deviation is higher and, thus offers more choices in outcomes 8. Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on their smartphones. For this to be a binomial experiment, what assumption needs to be made? a. The probability of being a gamer that plays video games on their smartphones is the same for all gamers 8. Fifteen golfers are randomly selected. The random variable represents the number of golfers who only play on the weekends. For this to be a binomial experiment, what assumption needs to be made? a. The probability of golfing on the weekend is the same for all golfers8. Ten fourth graders are randomly selected. The random variable represents the number of fourth graders who own a smartphone. For this to be a binomial experiment, what assumption needs to be made? a. The probability of owning a smartphone is the same for all fourth graders 9. A survey found that 75% of all golfers play golf on the weekend. Eighteen golfers are randomly selected. The random variable represents the number of golfers that play on the weekends. What is the value of p? a. 0.75 9. A survey found that 39% of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of n? a. 10 9. A survey found that 39% of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of p? a. 0.39 10. Fifty-nine percent of US adults have little confidence in their cars. You randomly select eight US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly three and then find the probability that it is (2) more than 6. a. (1) 0.133 (2) 0.096 10. Forty-four percent of US adults have little confidence in their cars. You randomly select twelve US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7. a. (1) 0.207 (2) 0.099 10. Sixty-eight percent of US adults have little confidence in their cars. You randomly select eleven US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly eight and then find the probability that it is (2) more than 6. a. (1) 0.247 (2) 0.744 11. Say a business wants to know if each salesperson is equally likely to make a sale. The company chooses 5 salespeople and gathers information on their sales experiences. What assumption must be made for this study’s probability results to be used in future binomial experiments? a. That the selected 5 have similar characteristics and sales areas as the other salespeople11. Say a business found that 29.5% of customers in Washington prefer grey suits. The company chooses 8 customers in Washington and asks them if they prefer grey suits. What assumption must be made for this study to follow the probabilities of a binomial experiment? a. That those selected have similar characteristics to those in the original study 12. Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 87.6% of all their baseballs have straight stitching. If exactly seven of the eleven have straight stitching, should the company stop the production line? a. Yes, the probability of exactly seven having straight stitching is unusual 12. Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 98.3% of all their baseballs have straight stitching. If exactly nine of the eleven have straight stitching, should the company stop the production line? a. Yes, the probability of exactly nine having straight stitching is unusual 12. Eight baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 93.8% of all their baseballs have straight stitching. If exactly six of the eight have straight stitching, should the company stop the production line? a. No, the probability of exactly six have straight stitching is not unusual 13. A soup company puts 12 ounces of soup in each can. The company has determined that 97% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled? a. n=36, p=0.97, x=36 13. A beer company puts 15 ounces of beer in each can. The company has determined that 95.5% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 16 cans has all cans that are properly filled? a. n=16, p=0.955, x=16 13. A bottling company puts 16 ounces of water bottle in each bottle. The company has determined that 94% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 12 cans has all cans that are properly filled? a. n=12, p=0.94, x=12 14. A supplier must create metal rods that are 2.1 inches width to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are too wide, too narrow, or about right?a. No, as there are three possible outcomes, rather than two possible outcomes 14. A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length? a. Yes, as each rod measured would have two outcomes: correct or incorrect 15. In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are not returned, once taken. You are the 5th employee to take a pen. Is this a binomial experiment? a. No, the probability of getting the broken pen changes as there is no replacement 15. In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment? a. Yes, with replacement, the probability of getting the one that does not work is the same 15. In a box of 12 tape measures, there is one that does not work. Employees take tape measures as needed and returned after use. You are the 9th employee to take a tape measure. Is this a binomial experiment? a. Yes, with replacement, the probability of getting the one that does not work is the same 15. In a box of 12 tape measures, there is one that does not work. Employees take a tape measure as needed. The tape measures are not returned, once taken. You are the 8th employee to take a tape measure. Is this a binomial experiment? a. No, the probability of getting the broken tape measure changes as there is no replacement 16. Sixty-one percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? a. 0, 1, 2, 8 16. Eighty-two percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? a. 0, 1, 2, 3 16. Fifty-three percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if theyjudge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? a. 0, 1, 7, 8 17. Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? a. Fewer than 12 17. Sixty-eight percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? a. Fewer than 8 17. Seventy-six percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? a. Fewer than 9 18. The probability of a potential employee passing a drug test is 86%. If you selected 12 potential employees and gave them a drug test, how many would you expect to pass the test? a. 10 employees 18. The probability of a potential employee passing a drug test is 86%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test? a. 13 employees 19. The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 11 will pass the test? a. 0.852 19. The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that 12 or more will pass the test? a. 0.85220. Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the standard deviation of the number of defective candles in the group? a. 1.27 20. Off the production line, there is a 2.2% chance that a candle is defective. If the company selected 40 candles off the line, what is the standard deviation of the number of defective candles in the group? a. 0.93 Question 1 2 / 2 pts Let x represent the height of first graders in a class. This would be considered what type of variable: Lagging Nonsensical Discrete Continuous Question 2 0 / 2 pts Let x represent the number of players on a sports field. This would be considered what type of variable: Discrete Continuous Inferential DistributedQuestion 2 2 / 2 pts Let x represent sheets of paper in a package. This would be considered what type of variable: Distributed Inferential Discrete Continuous Question 3 2 / 2 pts Consider the following table. Age Group Frequency 5410 70 and over 5279 If you created the probability distribution for these data, what would be the probability of 60-69? 15.2% 18.9% 12.7% 13.0% If you created the probability distribution for these data, what would be the probability of 40-49?18.9% 16.5% 42.5% 23.7% Question 4 2 / 2 pts Consider the following table. Weekly hours worked Probability 1-30 (average=23) 0.08 31-40 (average=36) 0.16 41-50 (average=43) 0.72 51 and over (average=54) 0.04 Find the mean of this variable. 40.7 39.0 39.5 40.0 Question 4 2 / 2 pts Consider the following table. Weekly hours worked Probability 1-30 (average=22) 0.08 31-40 (average=35) 0.41 41-50 (average=46) 0.47 51 and over (average=61) 0.04 Find the mean of this variable. 39.0 35.9 41.040.2 Question 5 2 / 2 pts Consider the following table. Defects in batch Probability 0 0.37 1 0.24 2 0.16 3 0.09 4 0.10 5 0.04 Find the variance of this variable. 2.25 1.43 2.50 1.50 Defects in batch Probability 0 0.09 1 0.24 2 0.41 3 0.12 4 0.10 5 0.04 Find the variance of this variable. 1.22 1.43 1.48 2.02Question 6 2 / 2 pts Consider the following table. Defects in batch Probability 2 0.15 3 0.44 4 0.18 5 0.10 6 0.07 7 0.06 Find the standard deviation of this variable. 3.68 1.36 1.86 0.93 Consider the following table. Defects in batch Probability 2 0.18 3 0.29 4 0.18 5 0.14 6 0.11 7 0.10 Find the standard deviation of this variable. 4.01 1.58 2.49 1.52Question 7 2 / 2 pts The standard deviation of the number of video game A’s outcomes is 0.5479, while the standard deviation of the number of video game B’s outcomes is 0.2498. Which game would you be likely to choose if you wanted players to have the most choice and why? Game A, as the standard deviation is lower and, thus offers more choices in outcomes Game B, as the standard deviation is higher and, thus offers fewer choices in outcomes Game A, as the standard deviation is higher and, thus offers more choices in outcomes Game B, as the standard deviation is lower and, thus offers fewer choices in outcomes Question 8 2 / 2 pts Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on their smartphones. For this to be a binomial experiment, what assumption needs to be made? The probability of being selected is the same for all ten gamers All ten selected gamers are the same age The probability of being a gamer and is selected is the same for all gamers The probability of being a gamer that plays video games on their smartphones is the same for all gamers Question 9 2 / 2 pts A survey found that 39% of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of p? 10 0.39x, the counter 0.10 Question 10 2 / 2 pts Thirty-five percent of US adults have little confidence in their cars. You randomly select ten US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7. (1) 0.069 (2) 0.974 (1) 0.021 (2) 0.026 (1) 0.021 (2) 0.005 (1) 0.069 (2) 0.005 Question 11 2 / 2 pts Say a business wants to know if each salesperson is equally likely to make a sale. The company chooses 5 salespeople and gathers information on their sales experiences. What assumption must be made for this study’s probability results to be used in future binomial experiments? That for every 5 salespeople, the probability of making a sale is the same That the probability of each salesperson being one of the selected 5 is the same That 5% is the correct probability to use in future studies That the selected 5 have similar characteristics and sales areas as the other salespeople Question 12 0 / 2 pts Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs havestraight stitching. If exactly five of the seven have straight stitching, should the company stop the production line? No, the probability of five or less having straight stitching is not unusual Yes, the probability of exactly five having straight stitching is unusual No, the probability of exactly five have straight stitching is not unusual Yes, the probability of five or less having straight stitching is unusual Question 13 0 / 2 pts A soup company puts 12 ounces of soup in each can. The company has determined that 97% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled? n=36, p=0.97, x=36 n=12, p=0.97, x=0 n=12, p=0.36, x=97 n=36, p=0.97, x=1 Question 14 0 / 2 pts A supplier must create metal rods that are 16.4 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are too long, too short, or about right? No, as there are three possible outcomes, rather than two possible outcomes Yes, as each rod measured would have two outcomes: too long or too short No, as the probability of being about right could be different for each rod selected Yes, all production line quality questions are answered with binomial experiments Question 15 0 / 2 ptsIn a box of 12 tape measures, there is one that does not work. Employees take a tape measure as needed. The tape measures are not returned, once taken. You are the 8th employee to take a tape measure. Is this a binomial experiment? No, binomial does not include systematic selection such as “eighth” No, the probability of getting the broken tape measure changes as there is no replacement Yes, you are finding the probability of exactly 5 not being broken Yes, the probability of success is one out of 12 with 8 selected Question 16 2 / 2 pts Fifty-three percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? 1, 2, 7, 8 0, 1, 2, 8 0, 1, 7, 8 1, 2, 8 Question 17 2 / 2 pts Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? Correct! Fewer than 12 Fewer than 9Fewer than 10 Fewer than 11 Question 18 2 / 2 pts The probability of a potential employee passing a drug test is 86%. If you selected 12 potential employees and gave them a drug test, how many would you expect to pass the test? 8 employees 10 employees 11 employees 9 employees Question 19 2 / 2 pts The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 11 will pass the test? 0.900 0.352 0.852 0.648 Question 20 2 / 2 pts Off the production line, there is a 4.6% chance that a candle is defective. If the company selected 50 candles off the line, what is the standard deviation of the number of defective candles in the group? 2.30 1.482.19 1.10 Question 7 2 / 2 pts The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you be likely to choose based on these data and why? Supplier B, as their standard deviation is higher and, thus, easier to fit into our production line supplier B, as their standard deviation is lower and, thus, easier to fit into our production line Supplier A, as their standard deviation is lower and, thus, easier to fit into our production line Supplier A, as their standard deviation is higher and, thus easier to fit into our production line Question 8 0 / 2 pts Fifteen golfers are randomly selected. The random variable represents the number of golfers who only play on the weekends. For this to be a binomial experiment, what assumption needs to be made? The probability of being selected is the same for all fifteen golfers The probability of golfing during the week is the same for all golfers The probability of golfing on the weekend is the same for all golfers All fifteen golfers play during the week Question 9 2 / 2 ptsA survey found that 39% of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of n? 0.10 x, the counter 0.39 10 Question 10 2 / 2 pts Forty-four percent of US adults have little confidence in their cars. You randomly select twelve US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7. (1) 0.793 (2) 0.099 (1) 0.762 (2) 0.901 (1) 0.207 (2) 0.901 (1) 0.207 (2) 0.099 Question 11 2 / 2 pts Say a business found that 98.3% of soda cans at a production facility in California are filled correctly. The company chooses 100 juice cans off the production line at that same facility. What assumption must be made for this study to follow the probabilities of a binomial experiment? That there is a 98.3% probability of being a selected customer in either production lineThat the probabilities of soda cans and juice cans being filled correctly is the same That the probability of being a selected can is the same for both products That the probability of cans being filled correctly is the same as the probability of a can being selected Question 12 0 / 2 pts Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 98.3% of all their baseballs have straight stitching. If exactly nine of the eleven have straight stitching, should the company stop theproduction line? Yes, the probability of nine or less having straight stitching is unusual Yes, the probability of exactly nine having straight stitching is unusual No, the probability of nine or more having straight stitching is not unusual No, the probability of exactly nine have straight stitching is not unusual Question 13 2 / 2 pts A soup company puts 12 ounces of soup in each can. The company has determined that 97% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled? n=36, p=0.97, x=36 n=12, p=0.36, x=97 n=12, p=0.97, x=0 n=36, p=0.97, x=1 Question 14 2 / 2 pts A supplier must create metal rods that are 2.3 inches width to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are the correct width or an incorrect width? Yes, all production line quality questions are answered with binomial experiments No, as the probability of being about right could be different for each rod selectedNo, as there are three possible outcomes, rather than two possible outcomes Yes, as each rod measured would have two outcomes: correct or incorrect Question 15 2 / 2 pts In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment? Yes, you are finding the probability of exactly 5 not being broken No, binomial does not include systematic selection such as “fifth” Yes, with replacement, the probability of getting the one that does not work is the same No, the probability of getting the broken pen changes as there is no replacement Question 16 2 / 2 pts Eighty-two percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge coworkers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? 1, 2, 3, 4 0, 1, 2, 3 0, 1, 2, 7 1, 2, 3 Question 17 2 / 2 pts Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that theproduction line be shut down (unusual) and repaired? Fewer than 12Fewer than 11 Fewer than 10 Fewer than 9 Question 18 2 / 2 pts The probability of a potential employee passing a drug test is 90%. If you selected 11 potential employees and gave them a drug test, how many would you expect to pass the test? 9 employees 10 employees 11 employees 8 employees Question 19 2 / 2 pts The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 11 will pass the test? 0.852 0.648 0.900 0.352 Question 20 2 / 2 pts Off the production line, there is a 4.6% chance that a candle is defective. If the company selected 50 candles off the line, what is the standard deviation of the number of defective candles in the group? 2.19 2.30 1.481.10 Question 1 2 / 2 pts Let x represent the length of cars in a parking lot. This would be considered what type of variable: Homework Help: 3DA. Discrete versus continuous variables (Links to an external site.) (DOCX) Discrete Nonsensical Lagging Continuous Question 2 2 / 2 pts Let x represent the inches of rain on crops in Akron, Ohio. This would be considered what type of variable: Homework Help: 3DA. Discrete versus continuous variables (Links to an external site.) (DOCX) Correct! Continuous Inferential Discrete Distributed Question 3 2 / 2 pts Consider the following table.Age Group Frequency 5410 70 and over 5279 If you created the probability distribution for these data, what would be the probability of 40-49? Homework Help: 3DB. Probabilities from a probability distribution (Links to an external site.) (DOCX) 42.5% 23.7%rrect! 16.5% 18.9% Question 4 2 / 2 pts Consider the following table. Weekly hours worked Probability 1-30 (average=23) 0.08 31-40 (average=36) 0.16 41-50 (average=43) 0.72 51 and over (average=54) 0.04 Find the mean of this variable. Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) 39.5orrect!40.7 39.0 40.0 Question 5 2 / 2 pts Consider the following table. Defects in batch Probability 0 0.05 1 0.18 2 0.29 3 0.24 4 0.13 5 0.11 Find the variance of this variable. Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) 1.35Correct! 1.83 2.55 2.58 Question 6 2 / 2 pts Consider the following table. Defects in batch Probability 2 0.21 3 0.374 0.22 5 0.10 6 0.07 7 0.03 Find the standard deviation of this variable. Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) Correct! 1.28 1.64 1.65 3.54 Question 7 2 / 2 pts Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on their smartphones. For this to be a binomial experiment, what assumption needs to be made? Homework Help: 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (Links to an external site.) (DOCX) All ten selected gamers are the same age The probability of being a gamer and is selected is the same for all gamersrrect! The probability of being a gamer that plays video games on their smartphones is the same for all gamers The probability of being selected is the same for all ten gamers Question 82 / 2 pts A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random variable represents the number of teens who buy soda (pop) at least once each week. What is the value of n? Homework Help: 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (Links to an external site.) (DOCX) x, the counter! 7 0.31 0.07 Question 9 2 / 2 pts Forty-four percent of US adults have little confidence in their cars. You randomly select twelve US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7. Homework Help: 3VB. Calculating binomial probabilities and cumulative probabilities (Links to an external site.) (8:23) 3DF. Binomial probabilities versus cumulative probabilities (Links to an external site.) (DOCX) Correct! (1) 0.207 (2) 0.099 (1) 0.793 (2) 0.099 (1) 0.762 (2) 0.901 (1) 0.207 (2) 0.901 Question 10 2 / 2 pts Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 87.6% of all their baseballs have straight stitching. If exactly seven of the eleven have straight stitching, should the company stop the production line?Homework Help: 3VC. Using binomials to assess quality of production (Links to an external site.) (3:08) No, the probability of seven or more having straight stitching is not unusual Yes, the probability of seven or more having straight stitching is unusual! Yes, the probability of exactly seven having straight stitching is unusual No, the probability of exactly seven have straight stitching is not unusual Question 11 2 / 2 pts A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length? Homework Help: 3VC. Using binomials to assess quality of production (Links to an external site.) (3:08) 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (DOCX) No, as there are three possible outcomes, rather than two possible outcomes No, as the probability of being about right could be different for each rod selected Yes, as each rod measured would have two outcomes: correct or incorrect Yes, all production line quality questions are answered with binomial experiments Question 12 2 / 2 pts In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are not returned, once taken. You are the 5th employee to take a pen. Is this a binomial experiment? Homework Help: 3VC. Using binomials to assess quality of production (Links to an external site.) (3:08) 3DE. Definitions, assumptions and elements (n, x, p) of binomial experiments (DOCX) No, binomial does not include systematic selection such as “fifth” Yes, you are finding the probability of exactly 5 not being brokenCorrect! No, the probability of getting the broken pen changes as there is no replacement Yes, the probability of success is one out of 12 with 5 selectedQuestion 13 0 / 2 pts Forty-two percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 7 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Homework Help: 3VD. Finding unusual outcomes from a probability distribution (Links to an external site.) (2:32) 1, 6, 7 0, 6, 7 0, 1, 2, 7You Answered 1, 2, 6, 7 Question 14 2 / 2 pts The probability of a potential employee passing a drug test is 91%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test? Homework Help: 3DC. Mean, expected value, variance, and standard deviation of discrete variables (Links to an external site.) (DOCX) Correct! 14 employees 13 employees 12 employees 15 employees Question 15 2 / 2 ptsOff the production line, there is a 4.6% chance that a candle is defective. If the company selected 50 candles off the line, what is the standard deviation of the number of defective candles in the group? Homework Help: 3VA. Calculating the mean, variance, and standard deviation of discrete variables (Links to an external site.) (4:35) Correct! 1.48 1.10 2.19 2.30Question 1 2 / 2 pts (CO 3) Consider the following table: Age Group Frequency - 70 and over 527 If you created the probability distribution for these data, what would be the probability of 60-69? Correct! 0.130 0.165 0.157 0.127 Question 2 2 / 2 pts (CO 3) Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks.Weekly hours worked Probability 5 0.06 15 0.18 20 0.61 25 0.15 Find the mean of this variable. 2.70 0.61Correct! 18.95 12.20 Question 3 0 / 2 pts (CO 3) Consider the following table: Defects in batch Probability 0 0.21 1 0.28 2 0.30 3 0.09 4 0.08 5 0.04 Find the variance of this variable. 1.67 1.78You Answered 1.33 1.99Question 4 2 / 2 pts (CO 3) Consider the following table: Defects in batch Probability 0 0.04 1 0.11 2 0.25 3 0.20 4 0.19 5 0.21 Find the standard deviation of this variable. 3.02Correct! 1.44 2.08 1.41 Question 5 2 / 2 pts (CO 3) Twenty-two percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these selected teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer listed below). 0.024, 0.001 0.993, 0.024 0.993, 0.000Correct! 0.024, 0.000Question 6 0 / 2 pts (CO 3) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line? You Answered No, as the probability of seven having the correct shape is unusual No, as the probability of seven having the correct shape is not unusual Yes, as the probability of seven having the correct shape is not unusual Yes, as the probability of seven having the correct shape is unusual Question 7 2 / 2 pts (CO 3) A bottle of water is supposed to have 20 ounces. The bottling company has determined that 98% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled? n=20, p=36, x=98 n=0, p=0.98, x=36 Correct! n=36, p=0.98, x=36 n=36, p=0.98, x=1 Question 8 0 / 2 pts (CO 3) On the production line the company finds that 99.7% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production? You Answered Less than 28 Less than 29 Less than 25 Less than 30Question 9 2 / 2 pts (CO 3) The probability of someone ordering the daily special is 71%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special? Correct! Question 10 2 / 2 pts (CO 3) Sixty-five percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Correct! 0, 1, 2, 8 0, 1, 2, 7, 8 0, 1, 8 0, 1, 2, 6, 7, 8 Question 11 2 / 2 pts (CO 3) Seventy-nine percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? Fewer than 10Correct! Fewer than 7 Fewer than 9Fewer than 6 Question 12 2 / 2 pts (CO 3) Out of each 100 products, 93 are ready for purchase by customers. If you selected 20 products, what would be the expected (mean) number that would be ready for purchase by customers? 93 20 18Correct! 19 Question 13 2 / 2 pts (CO 3) Sixty percent of adults have looked at their credit score in the past six months. If you select 31 customers, what is the probability that at least 25 of them have looked at their score in the past six months? Correct! 0.013 0.009 0.004 0.987 Question 14 2 / 2 pts (CO 3) One out of every 92 tax returns that a tax auditor examines requires an audit. If 50 returns are selected at random, what is the probability that less than 2 will need an audit? Correct! 0.8971 0.9828 0.99990.0109 Question 15 0 / 2 pts (CO 3) Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 5. 0.211You Answered 0.180 0.789 0.391 Question 16 0 / 2 pts (CO 3) In the morning, about 28% of adults know what they will have for dinner. If one morning, you ask 22 adults if they know what they will have for dinner, what is the probability that more than 8 will say yes? 0.256 0.134 0.122You Answered 0.744 Question 17 2 / 2 pts (CO 3) Among teenagers, 73% prefer watching shows over the internet, rather than through cable. If you asked 48 teenagers if they preferred watching shows over the internet, rather than through cable, how many would you expect to say yes? 73Correct! 35 48 36Question 18 0 / 2 pts (CO 3) Sixty-four percent of those that use drive through services believe that the employees are at least somewhat rude. If you asked 87 people who use drive through services if they believe that the employees are at least somewhat rude, what is the probability that at most 53 say yes? 0.237You Answered 0.073 0.310 0.763 Question 1 0 / 2 pts (CO 3) Consider the following table: Age Group Frequency - 70 and over 527 If you created the probability distribution for these data, what would be the probability of 50-59? 0.425red 0.165 0.152 0.189 Question 22 / 2 pts (CO 3) Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks. Weekly hours worked Probability 5 0.06 15 0.18 20 0.61 25 0.15 Find the mean of this variable. 0.61 12.20 2.70Correct! 18.95 Question 3 2 / 2 pts (CO 3) Consider the following table. Defects in batch Probability 0 0.30 1 0.28 2 0.21 3 0.09 4 0.08 5 0.04 Find the variance of this variable. 1.411.49Correct! 1.99 0.67 Question 4 0 / 2 pts (CO 3) Consider the following table: Defects in batch Probability 0 0.30 1 0.28 2 0.21 3 0.09 4 0.08 5 0.04 Find the standard deviation of this variable. You Answered 1.49 1.99 1.41 0.67 Question 5 2 / 2 pts (CO 3) Forty-three percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these selected teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer listed below). 0.784, 0.974 0.200, 0.974Correct!0.200, 0.026 0.784, 0.026 Question 6 2 / 2 pts (CO 3) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 85.2% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line? No, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is not unusual Yes, as the probability of seven having the correct shape is unusualCorrect! No, as the probability of seven having the correct shape is not unusual Question 7 2 / 2 pts (CO 3) A bottle of water is supposed to have 20 ounces. The bottling company has determined that 96% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled? Correct! n=36, p=0.96, x=36 n=36, p=0.98, x=1 n=20, p=0.98, x=36 n=0, p=36, x=98 Question 8 2 / 2 pts (CO 3) On the production line the company finds that 99.7% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production? Correct!Less than 29 Less than 25 Less than 30 Less than 28 Question 9 2 / 2 pts (CO 3) The probability of someone ordering the daily special is 71%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special? Correct! Question 10 2 / 2 pts (CO 3) Forty-seven percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Correct! 0, 1, 7, 8 0, 1, 2, 8 0, 1, 8 1, 2, 8 Question 11 0 / 2 pts (CO 3) Seventy-three percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour.Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? You Answered Fewer than 10 Fewer than 4 Fewer than 6 Fewer than 5 Question 12 2 / 2 pts (CO 3) Out of each 100 products, 93 are ready for purchase by customers. If you selected 20 products, what would be the expected (mean) number that would be ready for purchase by customers? 20Correct! 19 18 93 Question 13 2 / 2 pts (CO 3) Sixty percent of adults have looked at their credit score in the past six months. If you select 31 customers, what is the probability that at least 25 of them have looked at their score in the past six months? 0.987 0.009 0.004Correct! 0.013 Question 14 0 / 2 pts (CO 3) One out of every 92 tax returns that a tax auditor examines requires an audit. If 70 returns are selected at random, what is the probability that less than 5 will need an audit?0.0102 0.9990 0.0009You Answered 0.9999 Question 15 0 / 2 pts (CO 3) Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 3. 0.088You Answered 0.912 0.380 0.027 Question 16 2 / 2 pts (CO 3) In the morning, about 28% of adults know what they will have for dinner. If one morning, you ask 22 adults if they know what they will have for dinner, what is the probability that more than 8 will say yes? Correct! 0.134 0.122 0.256 0.744 Question 17 0 / 2 pts (CO 3) Among teenagers, 73% prefer watching shows over the internet, rather than through cable. If you asked 75 teenagers if they preferred watching shows over the internet, rather than through cable, how many would you expect to say yes? 75 3555 You Answered 54 Question 18 2 / 2 pts (CO 3) Sixty-four percent of those that use drive through services believe that the employees are at least somewhat rude. If you asked 87 people who use drive through services if they believe that the employees are at least somewhat rude, what is the probability that at most 53 say yes? 0.763 0.237 0.073Correct! 0.310 Question 1 2 / 2 pts (CO 4) Consider the following table: Age Group Frequency - 70 and over 527 If you created the probability distribution for these data, what would be the probability of 40-49? 0.237 0.425 0.189 0.165 Question 2 2 / 2 pts (CO 4) Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks. Weekly hours worked Probability5 0.06 15 0.61 20 0.18 25 0.15 Find the mean of this variable. 18.95 12.20 17.50 16.80 Question 3 2 / 2 pts (CO 4) Consider the following table: Defects in batch Probability 0 0.21 1 0.19 2 0.30 3 0.15 4 0.11 5 0.04 Find the variance of this variable. 1.49 1.40 1.97 1.88 Question 4 0 / 2 pts (CO 4) Consider the following table: Defects in batch Probability 0 0.04 1 0.11 2 0.25 3 0.20 4 0.19 5 0.21 Find the standard deviation of this variable. 1.41 3.02 1.44 2.08Question 5 2 / 2 pts (CO 4) Twenty-two percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these selected teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer listed below). 0.024, 0.000 0.993, 0.000 0.024, 0.001 0.993, 0.024 Question 6 0 / 2 pts (CO 4) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 7of the 10 have the right shape, should the company stop the production line? No, as the probability of seven having the correct shape is unusual No, as the probability of seven having the correct shape is not unusual Yes, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is not unusual Question 7 2 / 2 pts (CO 4) A bottle of water is supposed to have 20 ounces. The bottling company has determined that 96% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled? n=0, p=36, x=98 n=36, p=0.98, x=1 n=20, p=0.98, x=36 n=36, p=0.96, x=36 Question 8 0 / 2 pts (CO 4) On the production line the company finds that 85.6% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production? Less than 23Less than 24 Less than 25 Less than 26 Question 9 2 / 2 pts (CO 4) The probability of someone ordering the daily special is 71%. If the restaurant expected 65 peoplefor lunch, how many would you expect to order the daily special? / 2 pts (CO 4) Fifty-seven percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? 0, 1, 8 1, 2, 8 1, 2, 8 0, 1, 2, 8 Question 11 2 / 2 pts (CO 4) Seventy-three percent of products come off the line ready to ship to distributors. Your quality control department selects 12 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired? Fewer than 6 Fewer than 4 Fewer than 10 Fewer than 5 Question 12 0 / 2 pts (CO 4) Out of each 100 products, 93 are ready for purchase by customers. If you selected 20 products, what would be the expected (mean) number that would be ready for purchase by customers? Question 13 2 / 2 pts (CO 4) Sixty-seven percent of adults have looked at their credit score in the past six months. If you select29 customers, what is the probability that at least 25 of them have looked at their score in the past six months? 0.018 0.995 0.005 0.013 Question 14 2 / 2 pts (CO 4) One out of every 92 tax returns that a tax auditor examines requires an audit. If 50 returns are selected at random, what is the probability that less than 3 will need an audit? 0.0109 0.9828 0.0151 0.9978 Question 15 2 / 2 pts (CO 4) Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 6. 0.391 0.380 0.202 0.593 Question 16 2 / 2 pts (CO 5) The speed of cars on a stretch of road is normally distributed with an average 48 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly selected car is violating the speed limit of 50 miles per hour? 0.63 0.37 0.48 0.21 Question 17 2 / 2 pts(CO 5) A survey indicates that shoppers spend an average of 22 minutes with a standard deviation of 16 minutes in your store and that these times are normally distributed. Find the probability that a randomly selected shopper will spend less than 20 minutes in the store. 0.45 0.20 0.37 0.55 Question 18 2 / 2 pts (CO 5) The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $41. Find the probability that a randomly selected utility bill is between $110 and $130. 0.193 0.336 0.394 0.606 Question 19 2 / 2 pts (CO 5) A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 6.2 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 164 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)? Probability of 0.96 and would warrant a refund Probability of 0.04 and would not warrant a refund Probability of 0.04 and would warrant a refund Probability of 0.96 and would not warrant a refund Question 20 2 / 2 pts (CO 5) The yearly amounts of carbon emissions from cars in Belgium are normally distributed with a mean of 13.9 gigagrams per year and a standard deviation of 3.5 gigagrams per year. Find the probability that the amount of carbon emissions from cars in Belgium for a randomly selected year are between 11.5 gigagrams and 14.0 gigagrams per year.0.246 0.265 0.496 0.754 Question 21 2 / 2 pts (CO 5) On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 12.2 inches. Find the probability that a randomly selected part from this supplier will have a value between 87.5 and 107.5 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%? Probability is 0.68, which is consistent with the Empirical Rule Probability is 0.95, which is consistent with the Empirical Rule Probability is 0.79, which is inconsistent with the Empirical Rule Probability is 0.59, which is inconsistent with the Empirical Rule Question 22 2 / 2 pts (CO 5) A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute. If a randomly selected minute has 128 rotations per minute, would the process be considered in control or out of control? Out of control as this one data point is more than two standard deviations from the mean In control as this one data point is not more than three standard deviations from the mean In control as only one data point would be outside the allowable range Out of control as this one data point is more than three standard deviations from the mean Question 23 2 / 2 pts (CO 5) The soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. The company takes readings of every 10th bar off the production line. The reading points are 5.8, 5.9, 4.9, 6.5, 5.0, 4.9, 6.2, 5.1, 5.7, 6.1. Is the process in control or out of control and why? It is out of control as two of these data points are more than 2 standard deviations from the mean It is out of control as one of these data points is more than 3 standard deviations from the mean It is in control as the data points more than 2 standard deviations from the mean are far apart It is in control as the values jump above and below the mean Question 24 2 / 2 pts(CO 5) The blenders produced by a company have a normally distributed life span with a mean of 8.2 years and a standard deviation of 2.9 years. What warranty should be provided so that the company is replacing at most 6% of their blenders sold? 6.9 years 3.7 years 12.7 years 11.1 years Question 25 2 / 2 pts (CO 5) A puck company wants to sponsor the players with the 10% quickest goals in hockey games. The times of first goals are normally distributed with a mean of 12.56 minutes and a standard deviation of 4.91 minutes. How fast would a player need to make a goal to be sponsored by the puck company? 18.85 minutes 17.47 minutes 7.65 minutes 6.27 minutes Question 26 2 / 2 pts (CO 5) A stock's price fluctuations are approximately normally distributed with a mean of $104.50 and a standard deviation of $23.62. You decide to purchase whenever the price reaches its lowest 20% of values. What is the most you would be willing to pay for the stock? $84.62 $124.38 $98.52 $110.48 Question 27 2 / 2 pts (CO 5) The