The Law of Total Probability @jbstatistics

The Law of Total Probability @jbstatistics

Uploaded March 2019 | Updated September 2026, 2 hours ago

I discuss the Law of Total Probability. I begin with some motivating plots, then move on to a statement of the law, then work through two examples.

The Law of Total Probability

Confidence Intervals for One Mean: Determining the Required Sample Size

Inference for Two Means: Introduction

Simple Linear Regression: Inference on the Slope (The Formulas) (Old, fast version)

The Binomial Distribution: Mathematically Deriving the Mean and Variance

Proof that if events A and B are independent, so are Ac and B (and A and Bc)

Discrete Probability Distributions: The Poisson Distribution (STAT I – Full Lecture)

The Poisson Distribution: Introduction (fast version)

Finding Percentiles Using the Standard Normal Table (for tables that give the area to left of z)

The Sample Variance: Why Divide by n-1?

Hypothesis Tests on One Mean: A t Test Example

Basics of Probability: Unions, Intersections, and Complements

The Law of Total Probability