Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9

6.9 per year.

a. Find the probabilitythat, in ayear, there will be 4

4 hurricanes.

b. In a 45

45-year period, how many years are expected to have 4

4 hurricanes?

c. How does the result from part(b) compare to a recent period of 45

45 years in which 4

4 years had 4

4 hurricanes? Does the Poisson distribution work wellhere?

a. The probability is

nothing

.

(Round to three decimal places asneeded.)