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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain...

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.85.8 per year.

a. Find the probability​ that, in a​ year, there will be 44 hurricanes.

b. In a 5555​-year ​period, how many years are expected to have 44 ​hurricanes?

c. How does the result from part​ (b) compare to a recent period of 5555 years in which 77 years had 44 ​hurricanes? Does the Poisson distribution work well​ here?

Math   Statistics-And-Probability   
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