The annual rainfall in a large metropolitan area is approximately normal with a mean of 42 inches and a standard deviation of 7 inches. a) Find the probability that next year's rainfall will exceed 45 inches. b) Find the probability that in exactly 4 of the next 10 years the annual rainfall will exceed 45 inches. State your assumtions.

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The annual rainfall in a large metropolitan area is approximately normal with a mean of 42 inches and a standard deviation of 7 inches.

a) Find the probability that next year's rainfall will exceed 45 inches.

b) Find the probability that in exactly 4 of the next 10 years the annual rainfall will exceed 45 inches. State your assumtions. 

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