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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year. a. Find the probability that, in a year, there will be 3 hurricanes. b. In a 45-year period, how many years are expected to have 3 hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 3 hurricanes? Does the Poisson distribution work well here? ..... a. The probability is (Round to three decimal places as needed.)

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year. a. Find the probability that, in a year, there will be 3 hurricanes. b. In a 45-year period, how many years are expected to have 3 hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 3 hurricanes? Does the Poisson distribution work well here? ..... a. The probability is (Round to three decimal places as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year. a. Find the probability that, in a year, there will be 3 hurricanes. b. In a 45-year period, how many years are expected to have 3 hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 3 hurricanes? Does the Poisson distribution work well here? ..... a. The probability is (Round to three decimal places as needed.)
Transcribed Image Text:Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year. a. Find the probability that, in a year, there will be 3 hurricanes. b. In a 45-year period, how many years are expected to have 3 hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 3 hurricanes? Does the Poisson distribution work well here? ..... a. The probability is (Round to three decimal places as needed.)
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