According to the National Hurricane Center, the average number of hurricanes during the Atlantic season, which runs from June 1 to November 30, was 6.5 hurricanes per year from 1982 to 2012. Assume the number of hurricanes per year follows the Poisson distribution.

a. What is the probability that one hurricane will occur in the Atlantic next year?

b. What is the probability that less than three hurricanes will occur in the Atlantic next year?

c. What is the probability that more than four hurricanes will occur in the Atlantic next year?

d. What is the standard deviation for this distribution?AppendixLO1