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Assume that during month 1 the mean and standard deviation of the monthly rainfall are 0.750 and 0.433 inches, respectively. Similarly during month 2 the

Assume that during month 1 the mean and standard deviation of the monthly rainfall are 0.750 and 0.433 inches, respectively. Similarly during month 2 the mean and standard deviation of monthly rainfall are 3.000 and 0.866 inches, respectively. Assume monthly rainfall amounts can be approximated by the gamma distribution and that rainfall in month 2 is independent of rainfall in month 1. What is the probability of receiving more than 3 inches of rain during the two month period?

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