Assume that the Poisson distribution applies and at the mean number of hurricanes in a certain area is 7.2 per year.

a. Find the probability that, in a year, there will be 6 hurricanes.
b. In a 55 year period, how many years are expected to have 6 hurricanes?
c. How does the result from part (b) compare to a recent period of 55 years in which seven years had six hurricanes? Does the Poisson distribution work while here?