a. Find the probability that in a year, there will be 7 hurricanes. b. In a 55-year

Question:

a. Find the probability that in a year, there will be 7 hurricanes.
b. In a 55-year period, how many years are expected to have 7 hurricanes?
c. How does the result from part (b) compare to the recent period of 55 years in which 7 years had 7 hurricanes? Does the Poisson work well here?
Assume that the Poisson 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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