The Normal Distribution: The Limit of Binomial Distribution for Large "n"

The Normal distribution, or "Gaussian", is one of the most important probability distributions. It is the limit of a Binomial distribution for large "n" (for a large number of underlying Bernoulli trials). The normal distribution is quite common across statistics, for example to approximate the height of adults in a country. We will find that the sums of many random variables will often converge to a Normal distribution, according to the central limit theorem, which has broad and sweeping implications in statistics. This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company %%% CHAPTERS %%% 00:00 Intro 01:36 Definitions 04:00 Normal of a Given Binomial 07:22 Moving to Code 08:32 Example: n = 100, p = 0.5 10:25 Comparing Graphs 11:17 Visualizing Changes to N 13:38 Visualizing Small p (Poisson Case) 15:59 Outro