An Introduction to Conditional Probability @jbstatistics

Uploaded January 2018 | Updated September 2026, 2 hours ago

An introduction to conditional probability, pitched at a level appropriate for a typical introductory statistics course. I work through some simple examples in this introductory video, and a I briefly touch on the concept of independence in an example at the end of the video. I work through more examples (some a little harder) in my conditional probability example problems video: youtu.be/ES9HFNDu4Bs.

Proof that if two events are independent, so are their complements.

Proof that the Binomial Distribution tends to the Poisson Distribution

Simple Linear Regression: The Least Squares Regression Line

Hypothesis testing: Rejection regions and p-values |Full lecture (Intro Stats)

The Correlation Coefficient and Coefficient of Determination (Old, fast version)

Finding Areas Using the Standard Normal Table (for tables that give the area between 0 and z)

Deriving a Confidence Interval for the Ratio of Two Variances

Introduction to the Binomial Distribution (fast version)

The Relationship Between the Binomial and Poisson Distributions

Continuous Probability Distributions: Intro + the Uniform (STAT I – Full Lecture)

Deriving the least squares estimators of the slope and intercept (simple linear regression)