Discrete random variables - part 4/5 (Binomial random variables)

Introduction to binomial random variables which are sums of independent and identically distributed binomial random variables. Probability mass function is explained and expectation and variance are derived from properties of expectations and variances. An application of the binomial random variables to component failure rates is discussed with probability calculations performed in R.

Discrete random variables: part 1: https://youtu.be/ajLFqrPTAcY part 2: https://youtu.be/FrL4Dcoy9MI part 3: https://youtu.be/NXUkzZhrrcA

STAT 587: https://www.jarad.me/courses/stat587Eng/ Slides: https://www.jarad.me/courses/stat587Eng/slides/Probability/P2-Discrete_distributions/P2-Discrete_distributions.pdf

00:21 - Binomial random variables 01:48 - Binomial probability mass function 05:51 - Binomial expectation and variance 09:08 - Component failure rate example 09:55 - Component failure rate probability calculations 12:34 - Component failure rate probability calculations in R

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