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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.9 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 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 6 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 6 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation.

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.9 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 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 6 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 6 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.9 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 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 6 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 6 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is V the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation.
Transcribed Image Text:Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.9 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 hurricanes? c. How does the result from part (b) compare to a recent period of 55 years in which 6 years had 6 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 6 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is V the number of hurricanes in the recent period of 55 years, so the Poisson distribution appear to work well in the given situation.
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