Question: For the past 107 years, a certain state suffered 39 direct hits from major (category 3 to 5) hurricanes. Assume that this was typical and

For the past 107 years, a certain state suffered 39 direct hits from major (category 3 to 5) hurricanes.

Assume that this was typical and the number of hits per year follows a Poisson distribution.

(a) What is the probability that the state will not be hit by any major hurricanes in a single year?

(b) What is the probability that the state will be hit by at least one major hurricane in a single year?

(c) What is the probability that the state will be hit by at least three major hurricanes in a single year, as happened several years ago?

(d) What is the probability that the state will be hit by at least two major hurricanes in a single year, as happened last year?

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To solve this problem we can use the Poisson distribution formula PX k fracelambda lambdakk where PX k is the probability of getting exactly k hits in ... View full answer

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