Overview

1. Overview of sets

2. Counting principles

3. Combinatorics

4. Discrete probability

5. Conditional probability and Bayes’ Rule

6. Random variables, expectation, variance, and correlation

7. Common distribution families

8. Continuous distributions

9. Probabilistic inequalities, concentration, and limit theorems

10. Regression

11. Sampling, parameter estimation, and confidence intervals

12. Hypothesis testing