A Harris Interactive survey for InterContinental Hotels &Resorts asked respondents,

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The state of California has a mean annual rainfall of 27.6 inches, whereas the state of New York has a mean annual rainfall of 48.7 inches.  Assume the standard deviation for Californiais 4.9 inches and for New York is 3.1 inches. Find the probability that, for a sample of 40 years of rainfall for New York, the mean annual rainfall is at least 49 inches.