Probability Distributions

From coin flips to bell curves, this module explores the fundamental building blocks of probability. We’ll start with discrete distributions, master the ubiquitous Gaussian, and dive into the flexible Beta and Gamma families used in Bayesian inference.

Module Contents

1. Discrete PDF CDF

Understand the difference between Probability Mass Functions (PMF) and Cumulative Distribution Functions (CDF). Explore Bernoulli, Binomial, and Poisson distributions with interactive visualizations.

2. Gaussian Properties

Master the Normal Distribution, the most important distribution in statistics. Learn about the 68-95-99.7 rule, Z-scores, and the Central Limit Theorem.

3. Beta Gamma Distributions

Dive into continuous distributions on restricted intervals. See why Beta is the “probability of probabilities” and how Gamma models waiting times, complete with interactive shape shifters.