﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.20,0:00:03.45,Default,,0000,0000,0000,,Normal distributions generally look like this. Although their Dialogue: 0,0:00:03.45,0:00:05.13,Default,,0000,0000,0000,,width and center can change based on the Dialogue: 0,0:00:05.13,0:00:09.08,Default,,0000,0000,0000,,distribution's parameters. There are two parameters associated with Dialogue: 0,0:00:09.08,0:00:12.79,Default,,0000,0000,0000,,a normal distribution. The mean, mu. And the standard Dialogue: 0,0:00:12.79,0:00:16.03,Default,,0000,0000,0000,,deviation, sigma. These two parameters plug in to Dialogue: 0,0:00:16.03,0:00:18.87,Default,,0000,0000,0000,,the following probability density function, which describes a Dialogue: 0,0:00:18.87,0:00:21.94,Default,,0000,0000,0000,,Gaussian distribution. The expected value of a variable Dialogue: 0,0:00:21.94,0:00:25.03,Default,,0000,0000,0000,,described by a Gaussian distribution is the mean, mu. Dialogue: 0,0:00:25.03,0:00:27.37,Default,,0000,0000,0000,,and the variance is the standard deviation, sigma Dialogue: 0,0:00:27.37,0:00:30.31,Default,,0000,0000,0000,,squared. Normal distributions are also symmetric about their Dialogue: 0,0:00:30.31,0:00:32.92,Default,,0000,0000,0000,,mean. If you've taken an introduction to stats Dialogue: 0,0:00:32.92,0:00:35.30,Default,,0000,0000,0000,,course, the normal distribution should be a familiar tool.