Probability spaces: combinatorial probability; conditional probability and independence. Random variables: discrete distributions; continuous distributions; expectation, variance, and covariance; linear combinations. Statistics: descriptive and graphical statistics; sampling distributions. Inference: point estimation; confidence intervals; hypothesis tests; paired data designs; two sample inference; regression, correlation. NOTE: Credit can be obtained for only one of STAT 2043, STAT 2253, STAT 2263, STAT 2264 or STAT 2593.