Basics of Risk Analysis and Management

This lecture covers the basics of risk analysis and management in civil engineering, focusing on distributions, statistical reminders, and mathematical interpretation techniques applied to phenomena with uncertainties. Topics include deterministic and probabilistic approaches, Monte Carlo methods, random variables, distribution functions, moments, coefficients of variation, asymmetry, and kurtosis. The lecture also discusses Bernoulli sequences, fish distributions, uniform and normal distributions, as well as exponential and beta distributions. Practical examples are provided to illustrate the concepts, emphasizing the importance of understanding random variables and theoretical models in civil engineering.