Continuous Random Variables

This course introduces continuous random variables and probability density and cumulative distribution functions. It covers expectation, variance, and foundational uniform, exponential, gamma, chi-squared, and normal distributions.

Syllabus

An Introduction to Continuous Random Variables and Probability Density Functions.
The Uniform Distribution.
Notes on Continuous Random Variables' Probability Density Functions.
Cumulative Distribution Functions for Continuous Random Variables.
Connecting Probability Density Functions and Cumulative Distribution Functions.
Expectation of a Continuous Random Variable.
Expectation of a Function of a Continuous Random Variable.
Variance of a Random Variable.
Variance (Continuous Example).
Exponential Distribution Basics.
Gamma Basics.
Chi-Squared Basics.
Normal Distribution Basics.