(Already solved) DeVry University, Keller Graduate School of Management MATH 221/ MATH 221 Week 2 Homework Statistics for Decision-Making _ Spring 2022.

Week 2: Homework Question 1 Given the following information, find the probability that a randomly selected student will be very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21 Homework Help: 2DB. Probabilities from a given distribution of frequencies ( 21.6% 28.8% 21.0% 39.4% Question 2 Given the following information, find the probability that a randomly selected dog will be a golden retriever. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38 Homework Help: 2DB. Probabilities from a given distribution of frequencies ( 39.5% 21.1% 58.0% 42.0% Question 3 Given that there is a 21% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days? Homework Help:2VA: Probabilities given probability of success and 2 or more events ( 2DC. Probabilities given probability of success and 2 or more events ( 21.0% 16.6% 36.2% Consider the following table. What is the probability of blue? Red Blue Green Total Yes No 18 5 28 51 Total Homework Help: 2VB: Conditional probabilities from a table ( video=0_fx0y02fl) (1:45) 44/49 91/142 51/142 Consider the following table. What is the probability of green, given no? Red Blue Green Total Yes No 18 5 28 51 Total Homework Help: 2VB: Conditional probabilities from a table ( video=0_fx0y02fl) (1:45) 51/142 13.1% Question 4 49/142 Question 542/142 28/51 28/42 Question 6 In a sample of 400 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor? Homework Help: 2VE: Probabilities of drawing several from many without replacement ( 2DE. Probabilities of drawing several from many without replacement ( 35.00% 12.19% 12.25% 65.00% One event is a father being right handed. The other event is that his daughter is right handed. How would you classify these events? Homework Help: 2DF. Independent versus dependent events; mutually exclusive and non-mutually exclusive events, complements ( Independent Dependent Question 8Of the shirts produced by a company, 5% have loose threads, 9% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching. Homework Help: 2VF (1): Probabilities using the addition rule with values ( video=1_6q1y28ab) (0:54) 2DG. Probabilities using addition rule ( 17.5% 10.5% 14.0% 0.5% Question 9 Randomly select a customer that is a frequent shopper at our store. Randomly select a customer who does not know the store's location. Are these events mutually exclusive? Homework Help: 2DF. Independent versus dependent events; mutually exclusive and non-mutually exclusive events, complements ( Mutually exclusive events Non-mutually exclusive events Question 10 In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals. Homework Help: 2VG: Probabilities of drawing several from many without replacement, all or none outcomes ( 2DH. Probabilities of drawing several from many without replacement, all or none outcomes ( 2.77%2.70% 2.73% 2.74% Question 11 A sock drawer has 17 folded pairs of socks, with 9 pairs of white, 5 pairs of black and 3 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair? Homework Help: 2VH (1): Probability with multiplication rule: with numbers ( 2DI. Probability with the Multiplication Rule – with Numbers ( 22.84% 22.06% 24.26% 64.71% Question 12 An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend. Homework Help: 2VH (2): Probability with multiplication rule: with percentages ( 2DJ. Probability with the Multiplication Rule - with Percentages ( 30% 15% 52% 16%An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend. Homework Help: 2VH (2): Probability with multiplication rule: with percentages ( 2DJ. Probability with the Multiplication Rule - with Percentages ( Question 13 A smartphone company found in a survey that 14% of people did not own a smartphone, 31% owned a smartphone only, 17% owned a smartphone and only a tablet, 25% owned a smartphone and only a computer, and 13% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer? Homework Help: 2VF (2): Probabilities using the addition rule with percentages ( 2DG. Probabilities using addition rule ( Question 14Given the following information, find the probability that a randomly selected student will be very short. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21 Homework Help: 2DB. Probabilities from a given distribution of frequencies ( Question 1 Question 2Consider the following table. What is the probability of blue? Homework Help: 2VB: Conditional probabilities from a table ( video=0_fx0y02fl) (1:45) Question 4 Red Blue Green Total Yes No 18 5 28 51 Total Given the following information, find the probability that a randomly selected dog will be a golden retriever. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38 Homework Help: 2DB. Probabilities from a given distribution of frequencies ( Given that there is a 21% chance it will rain on any day, what is the probability that it will rain on the first day and be clear (not rain) on the next two days? Homework Help: 2VA: Probabilities given probability of success and 2 or more events ( 2DC. Probabilities given probability of success and 2 or more events ( Question 3Consider the following table. What is the probability of green, given no? Homework Help: 2VB: Conditional probabilities from a table ( video=0_fx0y02fl) (1:45) Question 5 Red Blue Green Total Yes No 18 5 28 51 Total In a sample of 400 customers, 140 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor? Homework Help: 2VE: Probabilities of drawing several from many without replacement ( 2DE. Probabilities of drawing several from many without replacement ( Question 665.00% One event is a father being right handed. The other event is that his daughter is right handed. How would you classify these events? Homework Help: events, complements ( Question 7 Of the shirts produced by a company, 5% have loose threads, 9% have crooked stitching, and 3.5% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching. Homework Help: 2VF (1): Probabilities using the addition rule with values ( video=1_6q1y28ab) (0:54) 2DG. Probabilities using addition rule ( Question 8 Randomly select a customer that is a frequent shopper at our store. Randomly select a customer who does not know the store's location. Are these events mutually exclusive? Homework Help: Question 9events, complements ( In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals. Homework Help: 2VG: Probabilities of drawing several from many without replacement, all or none outcomes ( 2DH. Probabilities of drawing several from many without replacement, all or none outcomes ( Question 10 A sock drawer has 17 folded pairs of socks, with 9 pairs of white, 5 pairs of black and 3 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair? Homework Help: 2VH (1): Probability with multiplication rule: with numbers ( 2DI. Probability with the Multiplication Rule – with Numbers ( Question 11Question 12 An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend. Homework Help: 2VH (2): Probability with multiplication rule: with percentages ( 2DJ. Probability with the Multiplication Rule - with Percentages ( An investment advisor believes that there is a 30% chance of making money by investing in a specific stock. If the stock makes money, then there is a 52% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money but does not receive a dividend. Homework Help: 2VH (2): Probability with multiplication rule: with percentages ( 2DJ. Probability with the Multiplication Rule - with Percentages ( Question 13 Question 14A smartphone company found in a survey that 14% of people did not own a smartphone, 31% owned a smartphone only, 17% owned a smartphone and only a tablet, 25% owned a smartphone and only a computer, and 13% owned all three. If a person were selected at random, what is the probability that the person would own a smartphone only or a smartphone and computer? Homework Help: 2VF (2): Probabilities using the addition rule with percentages ( 2DG. Probabilities using addition rule ( Match the terms and their definitions Homework Help: 2DA. Definition of probabilities and classical, empirical, subjective probabilities ( events, complements ( 0 and 1 1 - P(E) The occurrence of one event does not affect the occurrence of the other Cannot occur at the same time Probability of an event given that another event has occurred Question 15 Independent events