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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 45-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 45 years in which 5 years had 4 hurricanes? Does the Poisson distribution work well here?

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 45-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 45 years in which 5 years had 4 hurricanes? Does the Poisson distribution work well here?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 45-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 45 years in which 5 years had 4 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 4 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is close to the number of hurricanes in the recent period of 45 years, so the Poisson distribution does appear to work well in the given situation. does does not
Transcribed Image Text:Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 45-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 45 years in which 5 years had 4 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 4 hurricanes is (Round to one decimal place as needed.) c. The result from part (b) is close to the number of hurricanes in the recent period of 45 years, so the Poisson distribution does appear to work well in the given situation. does does not
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year there will be 4 hurricanes, b. In a 45-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 45 years in which 5 years had 4 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 4 hurricanes is. (Round to one decimal place as needed.) c. The result from part (b) is close to the number of hurricanes in the recent period of 45 years, so the Poisson distribution does appea ation. close to very different from
Transcribed Image Text:Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year there will be 4 hurricanes, b. In a 45-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 45 years in which 5 years had 4 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 4 hurricanes is. (Round to one decimal place as needed.) c. The result from part (b) is close to the number of hurricanes in the recent period of 45 years, so the Poisson distribution does appea ation. close to very different from
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