In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet. (a) Make a histogram of the probability distribution of r. (b) What is the probability of getting 5 or more days when the surf is at least 6 feet? (Round your answer to three decimal places.) (c) What is the probability of getting fewer than 2 days when the surf is at least 6 feet? (Round your answer to three decimal places.) (d) What is the expected number of days when the surf will be at least 6 feet?
In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet. (a) Make a histogram of the probability distribution of r. (b) What is the probability of getting 5 or more days when the surf is at least 6 feet? (Round your answer to three decimal places.) (c) What is the probability of getting fewer than 2 days when the surf is at least 6 feet? (Round your answer to three decimal places.) (d) What is the expected number of days when the surf will be at least 6 feet?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.
(a) Make a histogram of the probability distribution of r.
(b) What is the probability of getting 5 or more days when the surf is at least 6 feet? (Round your answer to three decimal places.)
(c) What is the probability of getting fewer than 2 days when the surf is at least 6 feet? (Round your answer to three decimal places.)
(d) What is the expected number of days when the surf will be at least 6 feet?
(e) What is the standard deviation of the r-probability distribution? (Round your answer to three decimal places.)
(f) Can you be fairly confident that the surf will be at least 6 feet high on one of your days off? Explain. (Round your answer to three decimal places.)
(Yes/No), because the probability of at least 1 day with surf of at least 6 feet is _______ and the expected number of days when the surf will be at least 6 feet is (less than/equal to/greater than) one.
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