Bivariate Probability and Bayes' Theorem

In this lecture we will first introduce bivariate distributions (a fancy way of saying we have two random variables and are looking at their interaction) and how we can examine joint, marginal, and conditional distributions/probabilities from them. We then introduce Bayes' Theorem which will be encountered repeatedly throughout your statistical career!

A video for the Biostatistical Methods I (BIOS 6611) course in the Department of Biostatistics and Informatics at the University of Colorado-Anschutz Medical Campus taught by Dr. Alex Kaizer. Slides and additional material available at https://www.alexkaizer.com/bios_6611.

Table of Contents:

00:00 - Intro Song
00:19 - Welcome
00:53 - Probability for Bivariate Distributions
03:23 - Joint Distribution
05:42 - Marginal Distribution
07:44 - Conditional Distribution
11:52 - Independence of Two Random Variables
14:07 - Bayes' Theorem