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The state of California has a mean annual rainfall of 23.8 inches, whereas the state of New York has a mean annual rainfall of 44.5

The state of California has a mean annual rainfall of 23.8 inches, whereas the state of New York has a mean annual rainfall of 44.5 inches. Assume the standard deviation for California is 4.9 inches and for New York is 8.2 inches. Find the probability that, for a sample of 45 years of rainfall for New York, the mean annual rainfall is at least 47 inches.

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