The mean precipitation for Miami in August is 8.9 inches. Assume that the standard deviation is 1.6

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The mean precipitation for Miami in August is 8.9 inches. Assume that the standard deviation is 1.6 inches and the variable is normally distributed.

a. Find the probability that a randomly selected August month will have precipitation of less than 8.2 inches. (This month is selected from August months over the last 10 years.)

b. Find the probability that a sample of 10 August months will have a mean of less than 8.2 inches.

c. Does it seem reasonable that a randomly selected August month will have less than 8.2 inches of rain?

d. Does it seem reasonable that a sample of 10 months will have a mean of less than 8.2 months?

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