MATH 6635 - Intro Probability Theory

(3) Definition and properties of probability functions; random variables, moment generating functions; mean, variance and higher moments; discrete distributions: binomial, hypergeometric, Poisson, geometric, negative binomial; continuous distributions: uniform, exponential, gamma,normal Cauchy, chi-square, t, and F distributions; central limit theorem; functions of a random variable; bivariate, marginal, and conditional distributions and covariance.