Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.7 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 5 years had 3 hurricanes? Does the Poisson distribution work well here?
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Part 1
a. The probability is
enter your response here.
(Round to three decimal places as needed.)
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