This 15-minute video lesson gives an example involving the preimage of a set under a transformation. It also gives a definition of kernel of a transformation.

The addition rule for probability is explained using Venn Diagrams. [Probability playlist: Lesson 3 of 29]

This lesson is a birthday problem that determines the probability that at least 2 people in a room of 30 share the same birthday. [Probability playlist: Lesson 17 of 29]

This lesson presents an example of dependent probability. [Probability playlist: Lesson 10 of 29]

This lesson presents an example of dependent probability. [Probability playlist: Lesson 11 of 29]

This lesson begins a six part series of basic probabiltiy using module examples. [Probability playlist: Lesson 4 of 29]

This lesson demonstrates probability using combinations and shows the probability of getting exatly 3 heads in 8 flips of a fair coin. [Probability playlist: Lesson 14 of 29]

This lesson is another demonstration of probability and combinations to determine the probability of making at least 3 out of 5 basketball free throws. [Probability playlist: Lesson 15 of 29]

This lesson uses playing cards and Venn Diagrams to explain the idea of probability [Probability playlist: Lesson 2 of 29]

This lesson shows how an insurance company uses probability to determine a person's chances of dying. [Probability playlist: Lesson 18 of 29]

Proof: Any subspace basis has same number of elements. Created by Sal Khan.

Sal solves a linear system with 3 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form. Gaussian Elimination is the method, reduced row echelon is just the final result.

Determining whether 3 vectors are linearly independent and/or span R3. Created by Sal Khan.

This 8-minute video lesson provides analysis of variance 1: Calculating SST (Total Sum of Squares). [Statistics playlist: Lesson 75 of 85]

This 13-minute video lesson provides analysis of variance 2: Calculating SSW and SSB (total sum of squares within and between). [Statistics playlist: Lesson 76 of 85]

This 10-minute video lesson provies analysis of variance 3: Hypothesis test with F-statistic. [Statistics playlist: Lesson 77 of 85]

This 12-minute video lesson plays with the formula for variance of a population. And looks at alternate variance formulas. [Statistics playlist: Lesson 16 of 85]

This 7-minute video lesson gives formulas for the Bernoulli Distribution Mean and Variance. [Statistics playlist: Lesson 42 of 85]