Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year.

a. Find the probability?that, in a?year, there will be 3 hurricanes.

b. In a 45?-year ?period, how many years are expected to have 3 ?hurricanes?

c. How does the result from part?(b) compare to a recent period of 45 years in which 4 years had 3 ?hurricanes? Does the Poisson distribution work well?here?

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year. a. Find the probability that, in a year. there will be 3 hurricanes. b. In a 45year period, howlI many years are expected to have 3 hurricanes? c. HowI does the result from part to) compare to a recent period of 45 years in which 4 years had 3 hurricanes? Does the Poisson distribution work well here? a. The probability is . (Round to three decimal places as needed.) b. The expected number of years with 3 hunicanes is '1. (Round to one decimal place as needed.) c. The result from part (b) is E the number of hurricanes in the recent peliod of 45 years. so the Poisson distribution : appear to work well in the given situation