Probability and Statistics

Catalog description

This is a calculus-based course in mathematical probability intended for statistics, mathematics, data science, economics, and physics majors as well as statistics minors. Topics include: counting, basic probability theory, joint and conditional probabilities, Bayes' Theorem, expectation, moments, probability distributions, joint distributions, conditional and marginal distributions, independence, product moments, linear combinations, univariate and multivariate transformation techniques, and order statistics. Students will derive the cumulative distribution function, expected value, variance, and moment generating function of various discrete and continuous distributions.