P3-3 Continuous random variables - part 3/3 (normal random variables)

Introduction to normal random variables including probability density function, expectation, and variance. Standardizing a normal random variable is accomplished by subtracting its mean and dividing by its standard deviation. The sum of independent normal random variables is a normal random variable whose mean and variance are the sum of the independent normal random variable means and variances, respectively. Normal probabilities are calculated using the statistical software R. A manufacturing example demonstrates these calculations.

Continuous random variables: part 1: https://youtu.be/KbfUnaiarps part 2: https://youtu.be/S_tw8UZqJ6U

STAT 587: https://www.jarad.me/courses/stat587Eng/ Slides: https://www.jarad.me/courses/stat587Eng/slides/Probability/P3-Continuous_distributions/P3-Continuous_distributions.pdf

0:17 - Normal random variables 1:31 - Normal probability density functions 3:30 - Properties of normal random variables 6:38 - Calculating standard normal probabilities 8:40 - Calculating normal probabilities 11:00 - Manufacturing example 12:49 - Summary

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