Question: please help me solve this equation : Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is

please help me solve this equation :

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.5

5.5 per year.

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

3 hurricanes.

b. In a 55

55?-year ?period, how many years are expected to have 3

3 ?hurricanes?

c. How does the result from part?(b) compare to a recent period of 55

55 years in which 6

6 years had 3

3 ?hurricanes? Does the Poisson distribution work well?here?

please help me solve this equation :Assume that the Poisson distribution applies

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.5 per year. a. Find the probability that, in a year, there will be 3 hurricanes. b. In a 55-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 55 years in which 6 years had 3 hurricanes? Does the Poisson distribution work well here? a. The probability is 0.113 . (Round to three decimal places as needed.) b. The expected number of years with 3 hurricanes is (Round to one decimal place as needed. )

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