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?

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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