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Chapter 6: Q. 3.1 (page 393)
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.
The value of meanis 2.
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79. Sowing seeds Refer to Exercise 69.
(a) Find the probability that exactly seeds germinate. Show your work.
(b) If only seeds actually germinate, should Judy be suspicious that the company鈥檚 claim is not true? Compute and use this result to support your answer.
A large auto dealership keeps track of sales made during each hour of the day. Let = the number of cars sold during the 铿乺st hour of business on a randomly selected Friday. Based on previous records, the probability distribution of is as follows:
The random variable has mean and standard deviation .
Suppose the dealership鈥檚 manager receives a bonus from the company for each car sold. Let = the bonus received from car sales during the 铿乺st hour on a randomly selected Friday. Find the mean and standard deviation of .
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 鈥渕anagerial and professional鈥� (of the population), 鈥渋ntermediate鈥� (), or 鈥渞outine and manual鈥� (). 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.
Buying stock You purchase a hot stock for . The stock either gains or loses each day, each with probability . Its returns on consecutive days are independent of each other. You plan to sell the stock after two days.
(a) What are the possible values of the stock after two days, and what is the probability for each value? What is the probability that the stock is worth more after two days than the you paid for it?
(b) What is the mean value of the stock after two days?
(Comment: You see that these two criteria give different answers to the question "Should I invest?")
Suppose you roll a pair of fair, six-sided dice until you get doubles. Let T = the number of rolls it takes. Show that T is a geometric random variable (check the BITS)
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