Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9 per year. a. Find the probability that, in a year, there will be 4 hurricanes
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Step 1
We are given that the mean number of hurricanes per year is 6.9. So, the Poisson parameter λ = 6.9. Show more…
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Assume that the Poisson distribution applies; assume that the mean number of Atlantic hurricanes in the United States is $6.1$ peryear, as in Example 1; and proceed to find the indicated probability. Hurricanes 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 the recent period of 55 years in which 10 years had 4 hurricanes? Does the Poisson distribution work well here?
Discrete Probability Distributions
Poisson Probability Distributions
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.2 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 7 years had 4 hurricanes? Does the Poisson distribution work well here?
Joshua A.
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