29. The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here.

Number Frequency 0 5 1 16 2 19 3 13 4 3 5 5 6 4 7 2 8 1

a. Find the probabilities of 0–8 hurricanes each season using these data.

b. Assuming a Poisson distribution and using the mean number of hurricanes per season from the empirical data, compute the probabilities of experiencing 0–8 hurricanes in a season. Compare these to your answer to part (a). How good does a Poisson distribution model this phenomenon?