34. The annual rainfall in Cincinnati is normally distributed with mean 40.14 inches and standard deviation 8.7

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34. The annual rainfall in Cincinnati is normally distributed with mean 40.14 inches and standard deviation 8.7 inches.

(a) What is the probability this year’s rainfall will exceed 42 inches?

(b) What is the probability that the sum of the next 2 years’ rainfall will exceed 84 inches?

(c) What is the probability that the sum of the next 3 years’ rainfall will exceed 126 inches?

(d) For parts

(b) and (c), what independence assumptions are you making?

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