Topic: Random Variables, Expectation and Conditional Expectation

Indicator Variables for Counting and Event Probabilities

Factorization of Expectations Under Independence

Expectation from Probability Mass Functions

Expectation from Densities and the LOTUS Formula

Distribution Functions, Atoms, and Support

Discrete Laws and Probability Mass Functions

Continuous Laws and Probability Densities

Conditioning on a Finite Partition

Conditional Probability and Bayes’ Rule for Events

Conditional Expectation in Mixture Models