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Chapter 6: Q. 78 (page 404)
78. Rhubarb Refer to Exercise 76. Would you be surprised if or more of the plants in the bundle die before producing any rhubarb? Calculate an appropriate probability to support your answer.
The probability is less than ,Thereforeand the result is surprising.
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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.
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.
Fire insurance Suppose a homeowner spends for a home insurance policy that will pay out if the home is destroyed by fire. Let the profit made by the company on a single policy. From previous data, the probability that a home in this area will be destroyed by fire is .
(a) Make a table that shows the probability distribution of Y.
(b) Compute the expected value of Y. Explain what this result means for the insurance company
88. Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing tiles. There are vowels, consonants, and blank tiles in the bag. Cait chooses her tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability? Justify your answer
Refer to the previous Check Your Understanding (page 390 ) about Mrs. Desai's special multiple-choice quiz on binomial distributions. We defined the number of Patti's correct guesses.
1. Find . Interpret this value in context.
2. Find localid="1649452775386" . Interpret this value in context.
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