a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 55-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 55 years in which 6 years had 4 hurricanes? Does the Poisson distribution work well here?
a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 55-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 55 years in which 6 years had 4 hurricanes? Does the Poisson distribution work well here?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is
6.5 per year.
a. Find the probability that, in a year, there will be 4 huricanes.
b. In a 55-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 55 years in which 6 years had 4
hurricanes? Does the Poisson distribution work well here?
a. The probability is.
(Round to three decimal places as needed.)
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