STAT/MATH 404: Probability and Statistics I
STAT 203 or 335
This is the first semester of a two-semester sequence. The first semester is essentially an exploration of probability as a mathematical model of chance phenomena. The second semester explores the statistical analyses based on these models. Topics to be covered include discrete and continuous random variables, transformations, multivariate distributions, correlation, independence, variance-covariance, special distributions (binomial, Poisson, gamma, chi-square, beta, normal, multivariable normal, t, and F), expectations of functions, convergence in probability, convergence in distribution, moment generating functions, and the central limit theorem.