From 1900 to 2014 (115 years), Florida suffered 31 direct hits from major (category 3 to 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution.

(a) What is the probability that Florida will not be hit by any major hurricanes in a single year?

(b) What is the probability that Florida will be hit by at least one major hurricane in a single year? Is this unusual?

(c) What is the probability that Florida will be hit by at least three major hurricanes in a single year, as happened in 2004? Does this indicate that the 2004 hurricane season in Florida was unusual?

(d) What is the probability that Florida will be hit by at least two major hurricanes in a single year, as happened in 2005? Does this indicate that the 2005 hurricane season in Florida was unusual?