Probability and Statistics

This lecture covers fundamental concepts in probability and statistics, including geometric and negative binomial distributions, lack of memory property, Poisson distribution, cumulative distribution functions, and expectations of random variables. The instructor explains the waiting time until the nth success, memorylessness, and the distribution of marked fish in a sample. The lecture also delves into transformations of discrete random variables and the expectation of functions. Various examples are provided to illustrate the theoretical concepts.