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W Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.1 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 55-year period, how many years are expected to have 5 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 8 years had 5 hurricanes? Does the Poisson distribution work well here?

W Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.1 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 55-year period, how many years are expected to have 5 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 8 years had 5 hurricanes? Does the Poisson distribution work well here?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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K Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.1 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 55-year period, how many years are expected to have 5 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 8 years had 5 hurricanes? Does the Poisson distribution work well here? a. The probability is (Round to three decimal places as needed.) b. The expected number of years with 5 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is period of 55 years, so the Poisson distribution situation. Q Search possible & ↓ C the number of hurricanes in the recent appear to work well in the given Time Remaining: 00:59:51 Recording Session PrtScn Next Evit Honorlo Home
Transcribed Image Text:K Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.1 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 55-year period, how many years are expected to have 5 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 8 years had 5 hurricanes? Does the Poisson distribution work well here? a. The probability is (Round to three decimal places as needed.) b. The expected number of years with 5 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is period of 55 years, so the Poisson distribution situation. Q Search possible & ↓ C the number of hurricanes in the recent appear to work well in the given Time Remaining: 00:59:51 Recording Session PrtScn Next Evit Honorlo Home
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