MATH221 Week 3 Homework Quiz| Questions &
Answers (Complete Solutions 100% Correct)
It is known that 13% of all golfers play on the weekends. We select 25 golfers and count
the number of golfers who play on weekends. For this binomial problem, which of the
following is true? - ✔✔The value of p is 0.13.
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? -
✔✔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. - ✔✔(1) 0.207 (2) 0.099
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? - ✔✔No, the probability of exactly five have straight
stitching is not unusual
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? - ✔✔No, as there are three possible
outcomes, rather than two possible outcomes
Consider the following table.
, Defects in batch - Probability
2 --- 0.21
3 --- 0.37
4 --- 0.22
5 --- 0.10
6 --- 0.07
7 --- 0.03
Find the standard deviation of this variable - ✔✔1.28
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? - ✔✔0, 1, 2, 3
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? - ✔✔13 employees
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? - ✔✔1.27
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. - ✔✔(1) 0.247 (2) 0.744
Consider the following table.
Answers (Complete Solutions 100% Correct)
It is known that 13% of all golfers play on the weekends. We select 25 golfers and count
the number of golfers who play on weekends. For this binomial problem, which of the
following is true? - ✔✔The value of p is 0.13.
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? -
✔✔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. - ✔✔(1) 0.207 (2) 0.099
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? - ✔✔No, the probability of exactly five have straight
stitching is not unusual
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? - ✔✔No, as there are three possible
outcomes, rather than two possible outcomes
Consider the following table.
, Defects in batch - Probability
2 --- 0.21
3 --- 0.37
4 --- 0.22
5 --- 0.10
6 --- 0.07
7 --- 0.03
Find the standard deviation of this variable - ✔✔1.28
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? - ✔✔0, 1, 2, 3
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? - ✔✔13 employees
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? - ✔✔1.27
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. - ✔✔(1) 0.247 (2) 0.744
Consider the following table.
