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Chapter 6: Q.75 (page 403)
Blood types In the United States, of adults have type O blood. Suppose we choose U.S. adults at random. Let the number who have type O blood. Use the binomial probability formula to find . Interpret this result in context.
The chance of out of people with O blood type is .
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77. Blood types Refer to Exercise 75. How surprising would it be to get more than adults with type blood in the sample? Calculate an appropriate probability to support your answer.
As the dangers of smoking have become more widely known, clear class differences in smoking have emerged. British government statistics classify adult men by occupation as “managerial and professional” (of the population), “intermediate” (), or “routine and manual” (). A survey finds that of men in managerial and professional occupations smoke, of the intermediate group smoke, and in routine and manual occupations smoke.
(a) Use a tree diagram to find the percent of all adult British men who smoke.
(b) Find the percent of male smokers who have routine and manual occupations.
52. Study habits The academic motivation and study habits of female students as a group are better than those of males. The Survey of Study Habits and Attitudes is a psychological test that measures these factors. The distribution of scores among the women at a college has meanand standard deviation , and the distribution of scores among male students has mean and standard deviation You select a single male student and a single female student at random and give them the test.
(a) Explain why it is reasonable to assume that the scores of the two students are independent.
(b) What are the expected value and standard deviation of the difference (female minus male) between their scores?
(c) From the information given, can you find the probability that the woman chosen scores higher than the man? If so, find this probability. If not,
explain why you cannot.
49. Checking independence In which of the following games of chance would you be willing to assume independence of andlocalid="1649903939419" in making a probability model? Explain your answer in each case.
(a) In blackjack, you are dealt two cards and examine the total points localid="1649903945891" on the cards (face cards count localid="1649903950298" points). You can choose to be dealt another card and compete based on the total pointslocalid="1649903956461" on all three cards.
(b) In craps, the betting is based on successive rolls of two dice. localid="1649903966379" is the sum of the faces on the first roll, and localid="1649903971075" is the sum of the faces on the next roll.
51. His and her earnings A study of working couples measures the income of the husband and the income of the wife in a large number of couples in which both partners are employed. Suppose that you knew the means and and the variances and of both variables in the population.
(a) Is it reasonable to take the mean of the total income to be ? Explain your answer.
(b) Is it reasonable to take the variance of the total income to be ? Explain your answer.
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