Hurricanes. In Exercises 5–8, assume that the Poisson distribution applies; assume that the mean number of Atlantic hurricanes in the United States is 6.1 per year, as in Example 1; and proceed to find the indicated probability.Hurricanesa. 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?

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Asked Jan 12, 2020
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Hurricanes. In Exercises 5–8, assume that the Poisson distribution applies; assume that the mean number of Atlantic hurricanes in the United States is 6.1 per year, 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?

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Expert Answer

Step 1

Given poisson distribution applies and mean number of atlantic hurricanes in United states is 6.1 per year
The probability that in a year, there will be 4 hurricanes is calculated as shown below
We get 0.1294 is the probability that 4 hurricanes will be in a year

Statistics homework question answer, step 1, image 1
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Step 2

The number of years are expected to have 4 hurricanes = 0.1294 * 55 = 7.117 = 7 (ap...

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