Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year a. Find the probability that, in a year, there will be 6 hurricanes b. In a 55-year period, how many years are expected to have 6 humicanes? C. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here? . The probability is O (Round to three decimal places as needed) b. The expected number of years with 6 huricanes is (Round to one decimal place as needed) c. The result from part (b) i [ well in the given situation me number of huricanes in the recent period of 55 years, so the Poisson dstribution Oper to wat dose to doe very diferent trom does nat
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year a. Find the probability that, in a year, there will be 6 hurricanes b. In a 55-year period, how many years are expected to have 6 humicanes? C. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here? . The probability is O (Round to three decimal places as needed) b. The expected number of years with 6 huricanes is (Round to one decimal place as needed) c. The result from part (b) i [ well in the given situation me number of huricanes in the recent period of 55 years, so the Poisson dstribution Oper to wat dose to doe very diferent trom does nat
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 7.4 per year.
a. Find the probability that, in a year, there will be 6 hurricanes.
b. In a 55-year period, how many years are expected to have 6 huricanes?
c. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here?
a. The probablity is
(Round to three decimai places as needed)
b. The expected number of years with 6 huricanes is
(Round to one decimal place as needed)
c. The result from part (b) is
the nummber of hurricanes in the recent period of 55 years, so the Poisson distribution
NOper to wak
well in the given situation.
close to
doee
very diferent from
dos not
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