STA 401/501 Probability (3)
Development of probability theory with emphasis on how probability relates to statistical inference. Topics include review of probability basics, counting rules, Bayes Theorem, distribution function, expectation and variance of random variables and functions of random variables, moment generating function, moments, probability models for special random variables, joint distributions, maximum likelihood estimation, unbiasedness, distributions of functions of random variables, chi-square distribution, students t distribution, F distribution, and sampling distributions of the sample mean and variance.
Prerequisite: STA 261, 301, or 368 or equivalent. Pre- or Co-requisite: Calculus II.
Note: STA 501 may not be counted toward graduate degree programs in mathematics or statistics.