Hydrologic Design: Probability & Statistics

This lecture by the instructor covers the application of probability and statistics in hydrologic design, focusing on topics such as return period, risk assessment, and the relationship between empirical data and theoretical concepts. The lecture delves into defining random variables, discrete and continuous distributions, and the calculation of probabilities for hydrological events. It also discusses the importance of estimating return periods for extreme events, the concept of engineering design scale, and the use of Weibull plotting positions in data analysis. Practical examples and generalized design criteria for water-control structures are presented to illustrate the theoretical concepts discussed.