Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.6 per year.

a. Find the probability that, in a year, there will be 5 hurricanes.

b. In a 35-year period, how many years are expected to have 5 hurricanes?

c. How does the result from part (b) compare to a recent period of 35 years in which 3 years had 5hurricanes? Does the Poisson distribution work well here?