Question

Hurricanes hit the United States often and hard, causing some loss of life and enormous economic costs. They are ranked in severity by the Saffir-Simpson scale, which ranges from Category 1 to Category 5, with 5 being the worst. In some years, as many as three hurricanes that rate a Category 3 or higher hit the US coastline. In other years, no hurricane of this severity hits the United States. The following table lists the number of ears that had 0, 1, 2, 3 or more hurricanes of at least Category 3 in severity, over the 100 years of the 20th century.

Number of Hurricanes; Category 3 or Higher	Number of Years
0	50
1	39
2	7
3	4
>3	0

(a). What is the mean number of severe hurricanes to hit the United States per year?

(b). What model would describe the distribution of hurricanes per year, if they were to hit independently of each other and if the probability of a hurricane were the same in every year?

(c). Test the fit of the model from part (b) to the data. Give test statistic, p-value, and conclusion.

Answer 1