For the 55-year period since 1960, there were 336 Atlantic hurricanes. Assuming the Poisson distribution, a) find µ, the mean number of hurricanes per year; b) find the probability that in a randomly selected year, there are exactly 8 hurricanes; c) in this 55-year period, there were actually 5 years with 8 Atlantic hurricanes. How does this actual result compare to the probability found in part (b)? Does the Poisson distribution appear to be a good model in this case?

For the 55-year period since 1960, there were 336 Atlantic hurricanes. Assuming the Poisson distribution, a) find µ, the mean number of hurricanes per year; b) find the probability that in a randomly selected year, there are exactly 8 hurricanes; c) in this 55-year period, there were actually 5 years with 8 Atlantic hurricanes. How does this actual result compare to the probability found in part (b)? Does the Poisson distribution appear to be a good model in this case?

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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