Khan Academy: Bernoulli Distributions and Margin of Error: Margin of Error 1

Some polynomials, when multiplied, result in a special product. Sal uses the distributive property to demonstrate the multiplication process. He then explains why some polynomials cannot be completely simplified.

This video shows how to create a confidence interval for the population mean from a sample taken from a Bernoulli distribution. Finding the 95% confidence interval for the proportion of a population voting for a candidate.

Video example of what a Bernoulli distribution is. Demonstrates how the general formulas for the mean and variance of the distribution are derived.

Video is the third of five related videos about deriving the formula for the least squares regression line. This video continues the algebraic manipulation to start deriving the formula by changing the notation to means instead of...

Video first reviews what the null space is and how to solve for it using reduced row echelon form. Shows that any solution to the inhomogeneous system Ax = b will be the sum of a particular solution and a homogeneous solution. Extends...

Video shows the logic behind why some believe that saying i is the principal root of -1 is wrong. Explains why the logic is faulty. Explains more technically the meaning of principal root. [6:44]

Normal distributions come up time and time again in statistics. A normal distribution has some interesting properties: it has a bell shape, the mean and median are equal, and 68% of the data falls within 1 standard deviation.

(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.

Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions.

Video first briefly reviews the effect on the sampling distribution when the sample size increases then gives the formula for variance of the sample mean of the sampling distribution and formula for standard error of the mean.