Department of Statistics

Recent Instructors Thompson, Jeff	ST 371	Introduction to Probability and Distribution Theory
	Course Description This course covers basic concepts of probability and distribution theory for students in the physical sciences, computer science and engineering. It also provides the background necessary to begin study of statistical estimation, inference, regression analysis, and analysis of variance. Course Syllabus Probability theory Set-theoretical notation Sample spaces Algebra of events Random variables Probability functions and properties Probability of unions and intersections Conditional probability Tree diagrams Bayes problem Independence Discrete distributions Combinatorics: permutations and combinations Replacement Order Distinguishability Uniform problem and probabilities using combinatorics Discrete random variables Probability density functions Distribution functions Distributions Bernoulli Binomial Hypergeometric Negative binomial Poisson Continuous distributions Moments Density functions Distribution functions Percentiles Distributions Uniform Gamma Exponential Chi-squared Poisson processes Waiting-time problems Normal Multivariate distributions Joint distributions Independent random variables Random samples Central Limit Theorem Course Prerequisites MA 241 Course Corequisites MA 242 Recent Textbooks Probability and Statistics for Engineering and the Sciences, 6 ed. Devore (2004)