MATH 221 Week 2 Homework: Statistics for Decision-Making (v5)/ 100% CORRRECT ANSWERS

MATH 221 Week 2 Homework: Statistics for Decision-Making (v5) According to company records, the probability that a washing machine will break in the first year is 4%. This would be considered: Correct! Empiric ...

MATH 221 Week 2 Homework: Statistics for Decision-Making (v5) According to company records, the probability that a washing machine will break in the first year is 4%. This would be considered: Correct! Empirical probability Subjective probability Manufactured probability Classical probability Question 2 2 / 2 pts Given the following information, find the probability that a randomly selected student will be tall, but not very tall. Number of students who are very short: 45, short: 60, tall: 82, very tall: 21 50.5% 10.1% 49.5% Correct! 39.4% Question 3 2 / 2 pts Given the following information, find the probability that a randomly selected dog will be a golden retriever or a poodle. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38 46.9% 39.5% 58.0% Correct! 60.5% Question 4 0 / 2 pts Given that there is a 23% 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? 36.9% Correct Answer 13.6% You Answered 23.0% 17.7% Question 5 2 / 2 pts Consider the following table. What is the probability of red? Red Blue Total Yes 15 21 36 No 38 13 51 Total 53 34 87 15/87 Correct! 53/87 15/53 36/87 Question 6 0 / 2 pts Consider the following table. What is the probability of green, given no? You Answered 28/42 Correct Answer 28/51 42/142 51/142 Question 7 2 / 2 pts A card is randomly selected from a standard deck of 52 cards. What is P(8 or 9)? Correct! 8/52 16/52 2/8 13/52 Question 8 0 / 2 pts In a sample of 350 customers, 125 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? You Answered 12.76% Correct Answer 12.69% 14.29% 41.67% Question 9 0 / 2 pts In a sample of 528 customers, 237 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service? You Answered 14.96% 12.83% 9.04% Correct Answer 8.98% Question 10 2 / 2 pts A company finds that when they pay employees more, the employees are more productive. How would you classify these events, based on this finding? Correct! Dependent Independent Question 11 2 / 2 pts A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that one purchase results in a selection of a cracker with an even number or a number less than 5? 35.7% Correct! 64.3% 14.0% 71.4% Question 12 0 / 2 pts Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching. You Answered 16.0% 12.5% Correct Answer Question 13 0 / 2 pts 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? Correct Answer Mutually exclusive events You Answered Non-mutually exclusive events Question 14 0 / 2 pts In a sample of 800 adults, 228 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals. You Answered 9.50% 2.31% Correct Answer 2.29% 3.17% Question 15 0 / 2 pts In a sample of 80 adults, 25 said that they would buy a car from a friend. Three adults are selected at random without replacement. Find the probability that none of the three would buy a car from a friend. You Answered 2.80% 25.80% 32.50% Correct Answer 31.93% Question 16 0 / 2 pts A sock drawer has 17 folded pairs of socks, with 7 pairs of white, 6 pairs of black and 4 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? You Answered 35.25% 22.84% 64.71% Correct Answer 24.26% Question 17 0 / 2 pts An investment advisor believes that there is a 28% chance of making money by investing in a specific stock. If the stock makes money, then there is a 43% chance that among those making money, they would also get a dividend. Find the probability that the investor makes money and receive a dividend. 15% You Answered 43% Correct Answer 28% Question 18 0 / 2 pts An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes money, then there is a 50% 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. You Answered 10% Correct Answer 30% 60% 50% Question 19 0 / 2 pts 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? Correct Answer 56% You Answered 48% 25% 31% 20. 0 and 1 Probability in between Correct! 1 - P(E) Complement of an event Correct! The occurrence of one event does not affect the occurrence of the other – Independent events Correct! Cannot occur at the same time – Mutually exclusive events Correct! Probability of an event given that another event has occurred – conditional probability