Topics

Use continuous densities and distribution functions to find probabilities, moments, and uniform or exponential model quantities.

Use normal models and normal approximations, then study distributions of transformed random variables.

Use moment generating functions and analyze joint, marginal, conditional, and dependence relationships for random variables.

Combine independent random variables, work with conditional distributions, and analyze covariance and correlation.

Use probability bounds and explain how averages stabilize as the number of observations grows.

Approximate distributions of sample means, sums, and proportions using normal models.