Deriving the Mean and Variance of a Continuous Probability Distribution @jbstatistics

Deriving the Mean and Variance of a Continuous Probability Distribution @jbstatistics

Uploaded December 2012 | Updated September 2026, 1 hour ago

I work through an example of deriving the mean and variance of a continuous probability distribution. I assume a basic knowledge of integral calculus.

Deriving the Mean and Variance of a Continuous Probability Distribution

Using R to Find Chi-square Areas and Percentiles

An Introduction to the t Distribution (Includes some mathematical details)

t Tests for One Mean: Introduction

Simple Linear Regression: Inference on the Slope (An Example) (Old, fast version)

Inference on the Slope (The Formulas)

The Paired-Difference t Procedure

t Tests for One Mean: Investigating the Normality Assumption

Binomial/Not Binomial: Some Examples

Are mutually exclusive events independent?

Overview of Some Discrete Probability Distributions (Binomial,Geometric,Hypergeometric,Poisson,NegB)

What is a p-value? (Updated and extended version)

Deriving the Mean and Variance of a Continuous Probability Distribution