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The annual maximum rate of discharge of a particular river is thought to have the Type I extreme value distribution with mean 10,000 cfs and standard deviation 3,000 cfs. Compute P[annual maximum discharge ≥ 15, 000] Find an expression for the CDF of the river's maximum discharge rate over the 20-year lifetime of an anticipated flood-control project. Assume that the individual annual maxima are mutually independent random variables. What is the probability that the 20-year maximum flow will exceed 15,000 cfs?

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