The average annual flood flow rates measured in a river is 800 m3/s, and the standard deviation is 400 m3/s. The probability distribution of the flood discharges conforms to the GUMBEL distribution. a) How many years is the return interval of 1300 m3/s, the largest observed flow rate, according to the GUMBEL distribution? b) Calculate the value of the 25-year flood flow. Thank you indeed for solving these question

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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.