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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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