Between 1965 and 2007, there were 95 major hurricanes (category 3 or more) in the Atlantic basin. Assume that hurricanes are independent and the mean has not changed.
a) What is the mean number of major hurricanes per year? (There are 43 years from 1965 to 2007.)
b) What is the standard deviation of the frequency of major hurricanes?
c) What is the probability of having a year with no major hurricanes?
d) What is the probability of going three years in a row without a major hurricane?