Math 303. Probability and Statistics

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Basic topics in probability theory. Sample space, probability and conditional probability. Random variables, marginal joint and conditional distributions. Expectations and conditional expectations. Binomial and geometric distributions. Poisson, exponential, Erlang, gamma distributions. Moment generating functions and Laplace transforms. Law of large numbers, central limit theorem and the normal distributions. Confidence intervals. Hypothesis testing. Analysis of variance (ANOVA). Fitting a line. Simple regression. Multiple regression. Regression extension. Correlation. Nonparametric and robust statistics. Chi-Square tests.
Requires consent of instructor.
Core for CS and FM.