Understanding Bernoulli and Binomial Random Variables - From Basic Concepts to Applications
Steve Brunton via YouTube
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Overview
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Learn about fundamental probability concepts in this 25-minute educational video exploring Bernoulli and Binomial random variables - essential building blocks for understanding more complex distributions like Normal and Poisson. Explore the mechanics of Bernoulli variables through simple coin flip scenarios, then advance to Binomial variables constructed from multiple Bernoulli trials. Work through practical examples including calculating probabilities for coin tosses and dice rolls, with guided homework problems to reinforce understanding. Produced at the University of Washington with Boeing Company funding support, the lecture progresses from basic definitions to applications with larger numbers of trials, providing a comprehensive foundation in discrete probability distributions.
Syllabus
00:00 Intro
01:12 Defining Bernoulli Variables
05:18 Defining Binomial Variables
11:31 Example: n = 2
15:52 Homework: n = 3
17:54 Homework: Verify Probabilities Sum to 1
19:08 Example: 3 Sixes on 12 Dice Rolls
22:12 Binomial of Large N
Taught by
Steve Brunton