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? ..... a. The probability is (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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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?
.....
a. The probability is
(Round to three decimal places as needed.)
Transcribed Image Text: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? ..... a. The probability is (Round to three decimal places as needed.)
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