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Poisson Probability:Major hurricanes

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1) A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century, the mean number of major hurricanes to strike the U.S. mainland per year was about 0.7. Find the probability that in a given year a) exactly one major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland, and c) more than one major hurricane will strike the U.S. mainland.

2) The mean number of days with 0.01 inch or more precipitation per month for Lewistown, Idaho, is about 8.7. Find the probability that in a given month a) there are exactly 9 days with 0.01 inch or more precipitation, b) there are at most 9 days with 0.01 inch or more precipitation, and c) there are more than 9 days with 0.01 inch or more precipitation.

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Solution Summary

The solution provides step-by-step method for the calculation of Poisson probabilities. Formula for the calculation and Interpretations of the results are also included.

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