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Mathematics, 22.03.2021 14:00 ack12
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.1 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 7 years had 4 hurricanes? Does the Poisson
distribution work well here?
a. The probability is 0.172
(Round to three decimal places as needed.)
b. The expected number of years with 4 hurricanes is 3.62
(Round to one decimal place as needed.)
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