Question: a. Find the probability that in a year, there will be 5 hurricanes. b. In a 55-year period, how many years are expected to have

a. Find the probability that in a year, there will be 5 hurricanes.
b. In a 55-year period, how many years are expected to have 5 hurricanes?
c. How does the result from part (b) compare to the recent period of 55 years in which 8 years had 5 hurricanes? Does the Poisson distribution work well here?
Assume that the Poisson distribution applies; assume that the mean number of Atlantic hurricanes in the United States is 6.1 per year, as in Example 1; and proceed to find the indicated probability.

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