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a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 55-year period, how many years are expected to have 4 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 4 hurricanes? Does the Poisson distribution work well here?

a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 55-year period, how many years are expected to have 4 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 4 hurricanes? Does the Poisson distribution work well here?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.5 per year. a. Find the probability that, in a year, there will be 4 huricanes. b. In a 55-year period, how many years are expected to have 4 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 4 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 6.5 per year. a. Find the probability that, in a year, there will be 4 huricanes. b. In a 55-year period, how many years are expected to have 4 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 4 hurricanes? Does the Poisson distribution work well here? a. The probability is. (Round to three decimal places as needed.)
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