The 60-year record shows that the annual maximum discharges for a river have a mean of 30,000 cfs, a standard deviation of 28,000 cfs, and a skewness coefficient of 3.15. If the annual maximum discharge can be described by the Extreme-value Type I distribution, what is the probability that the annual maximum discharge exceeds 100,000 cfs at least once in next 10 years? (Note: The sample size is 60. Conduct interpolation using exceedance probabilities or cumulative probabilities.)

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Probability, risk and uncertainty analysis for hydrological design

It gives a framework that is financially critical for finding the exceptional designs of hydrological systems with a reduced cost in total inclusive of the project cost and the disaster mitigation cost. But there would be hardly any assessment of a decent quality damage function. Hence, errors in demonstrating the hydrologic events, incorrect model parameters, and so on may occur. Here, we will discuss a specific hydrological design that of a detention basin for studying and understanding the risk-based procedure, uncertainties, and probability analysis by following a systematic framework.