Question

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.1 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 45 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 45 years in which 5 years had 5 hurricanes? Does the Poisson distribution work well here?

Name: assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 71 per year a find the probability that in a year there will be 5 hurricanes b in a 4 38133
Uploaded: 2023-03-06T05:41:50-08:00
Duration: 3 min 18 s
Channel: Robin Corrigan
Description: assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 71 per year a find the probability that in a year there will be 5 hurricanes b in a 4 38133

          Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is  7.1 per year.
a. Find the probability that, in a year, there will be 5
hurricanes.
b. In a 45 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 45 years in which 5 years had  5 hurricanes? Does the
Poisson distribution work well here?

Added by Molly K.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Robin Corrigan

03/06/2023

Step 1

1), k is the number of hurricanes we want to find the probability for (5), and e is the base of the natural logarithm (approximately 2.71828). P(X = 5) = (e^(-7.1) * 7.1^5) / 5! Plugging in the values, we get: P(X = 5) = (2.71828^(-7.1) * 7.1^5) / 120 P(X = 5) Show more…

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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.1 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 45 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 45 years in which 5 years had 5 hurricanes? Does the Poisson distribution work well here?