What is the probability that the state will be hit

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For the past 109 years, a certain state suffered 29 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. Complete parts (a) through (d).

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? Is this unusual?

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? Does this indicate that the hurricane season several years ago in this state was unusual?

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? Does this indicate that the hurricane season this year in this state was unusual?

Reference no: EM132848176

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