Statistic and probability

n A 16. Health Cmfor Bags 9 The following table shows the results of a survey in which 90 dog owners were asked 0 how much they have spent in-the last year for their dog's health care. - whether their dogs were purebred or mixed breeds. (a) Find the probability that $100 or more was spent on a randomly selected dog's health care in the last year. (b) Given that a randomly selected dog owner Spent less than $100, find the probability that the dog was a mixed breed. (c) Find the probability that a randomly selected dog owner spent $100 or more on health care and the dog was a mixed breed. (d) Are the events \"spending $100 or more on health care\" and \"having a mixed breed dog\" independent or dependent? Explain. ited States has type AB+ 17. Blood 0 The probability that a person in the U11 random. blood is 3%. Five unrelated people in the US. are selected at (Source: American Association of Blood Ban 5) (20 Find the probability that all five have type AB" blood. (b) Find the probability that none of the five has type AB+ blood. (c) Find the probability that at least one of the five has type AB + blood. 18. Blood 0 The probability that a person in the United States has type 0+ blood is 38%. Three unrelated people in the U.S. are selected at random. (Source: American Association of Blood Banks) (a) Find the probability that all three have type O+ blood. (b) Find the probability that none of the three has type 0* blood. (c) Find the probability that at least one of the three has type O+ blood. 19. Guessing o A multiple-choice quiz has three questions, each with five answer choices. Only one" of the choices is correct. You have no idea what the answer is to any question, and have to guess each answer. (a) Find the probability of answering the first'question correctly. (b) Find the probability of answering the rst two questions correctly. (c) Find the probability of answering all three questions correctly. (d) Find the probability of answering none of the questions correctly. (e) Find the probability of answering at least one of the questions correctly 20. Bookbinding Defects O A printing company's bookbinding machine has E probability of 0.005 of producing a defective book. If this machine is use: none of the books an to bind three books, find the probability that (a) defective, (b) at least one of the books is defective, and (c) all of the book are defective. 21. Warehouses o A distribution center receives shipments of a certaii roduct from three different factories in the following quantities: 500( 3500, and 2500. Three times a product is selected at random, each time with out a replacement. Find the probability that all three products came fro: the third factory. 22. Birthdays 6 Three people are selected at random. Find the probabilil that (a) all three share the same birthday and (b) none of the three she: the same birthday. Assume 365 days in a year