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The average annual precipitation for Vancouver B.C. is 62.3 inches with a standard deviation of 10.2 inches. a) What is the probability that the mean

The average annual precipitation for Vancouver B.C. is 62.3 inches with a standard deviation of 10.2 inches.

a) What is the probability that the mean annual precipitation of 45 randomly selected years will be greater than 65 inches?

b) Is it necessary to assume that annual precipitation follows a Normal distribution? Briefly explain your answer.

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