# STAT 400 / MATH 463

Introduction to mathematical statistics that develops probability as needed; includes the calculus of probability, random variables, expectation, distribution functions, central limit theorem, point estimation, confidence intervals, and hypothesis testing. Offers a basic one-term introduction to statistics and also prepares students for STAT 410.

Syllabus

Lon Capa for HW

Final Exam: 7:00 pm – 10:00 pm, Tuesday, May 9, 2017, 103 Mumford Hall

 Course Schedule Week Handouts T R Sunday Date Reading/Notes Date Reading/Notes HW Due 11:59 pm 1 Handout 01/17 Introduction, Properties of Probability, 1.1 01/19 Independence, 1.4; Conditional probability, 1.3 2 Handout 01/24 Bayes’ Theorem, 1.5 01/26 Enumeration, 1.2 1 3 Handout 01/31 Discrete Random Variables, Expectation, 2.1, 2.2 02/02 Variance, 2.3, More Discrete Random Variables 2 4 Handout 02/07 Bernoulli trials, 2.4 02/09 Poisson, 2.6 3 5 Handout 02/14 Moment Generating Functions, 2.5 02/16 EXAM 1 4 6 Handout 02/21 Continuous Random Variables, 3.1 02/23 Exponential, Gamma, 3.2, Poisson table 5 7 Handout 02/28 Normal, 3.3, Z-table 03/02 Bivariate Distributions, 4.1, 4.3, 4.4 6 8 Handout 03/07 Correlation, 4.2 03/09 Multivariate, 5.3 7 9 Handout 03/14 CLT, 5.6, 5.7 03/16 Point estimation, 6.4 8 10 03/21 Spring Break 03/23 Spring Break 11 Handout 03/28 EXAM 2 03/30 CI for 1 mean, 7.1, 7.4, t-table 9 12 Handout 04/04 CI for 2 means, 7.2 04/06 CI for variance, chisquare table, min width table 10 13 Handout 04/11 CI for p, 7.3, 7.4 04/13 Tests for p, 8.3 11 14 Handout 04/18 Tests for 1 mean, 8.1 04/20 Tests for 2 means, 8.2 12 15 Handout 04/25 Tests for variances, Chi-square Tests, 9.1 04/27 Contingency Tests, 9.2 13 16 05/02 EXAM 3