11. The annual rainfall in Cleveland, Ohio is approximately a normal random variable with mean 40.2 inches

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11. The annual rainfall in Cleveland, Ohio is approximately a normal random variable with mean 40.2 inches and standard deviation 8.4 inches. What is the probability that

(a) next year's rainfall will exceed 44 inches;

(b) the yearly rainfalls in exactly three of the next seven years will exceed 44 inches?

Assume that if A, is the event that the rainfall exceeds 44 inches in year i

(from now), then the events A, i 1, are independent.

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