Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.4 per year.
a. Find the probability that, in a year, there will be 4 hurricanes.
b. In a 45-year period, how many years are expected to have 4 hurricanes?
c. How does the result from part (b) compare to a recent period of 45 years in which 5
years had 4 hurricanes? Does the Poisson distribution work well here?
(Round to three decimal places as needed)