For the past 107 years, a certain state suffered 39 direct hits from major (category 3 to
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 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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Step by Step Answer:
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 the full answer
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Related Book For 
Statistics Informed Decisions Using Data
ISBN: 9781292157115
5th Global Edition
Authors: Michael Sullivan
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