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9. The number of thunderstorms in Iowa in a calendar month is normally distributed with a mean of 75, and a standard deviation is 20.

9. The number of thunderstorms in Iowa in a calendar month is normally distributed with a mean of 75, and a standard deviation is 20.

a. A single month is randomly selected. Find the probability that the number of thunderstorms in that month is greater than 85.

b. A sample of ten months is selected. Find the probability that the mean number of thunderstorms per month in this sample is greater than 85.

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