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

6.1

per year.

a. Find the probability that, in a year, there will be

4

hurricanes.

b. In a

45-year

period, how many years are expected to have

4

hurricanes?

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

45

years in which

5

years had

4

hurricanes? Does the Poisson distribution work well here?

Question content area bottom

Part 1

a. The probability is

enter your response here.