Probability Foundations
A 22-module path through probability foundations, in study order from foundations to the frontier.
Modules
- Sample Spaces and Events
- The Axioms of Probability
- Combinatorial Probability
- Conditional Probability
- The Multiplication Rule
- The Law of Total Probability
- Bayes' Theorem
- Independence of Events
- Random Variables
- Discrete Random Variables and PMFs
- Cumulative Distribution Functions
- The Bernoulli and Binomial Distributions
- The Geometric Distribution
- The Poisson Distribution
- Continuous Random Variables and PDFs
- The Uniform and Exponential Distributions
- The Normal Distribution
- Expectation
- Variance and Moments
- Moment Generating Functions
- Functions of Random Variables
- The Inverse Transform Method