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An Introduction to Random Variables

Binomial Random Variables and the Binomial Distribution (part 1)

Binomial Random Variables and the Binomial Distribution (part 2)

Hypergeometric Random Variables and the Hypergeometric Distribution

Probabilities for Discrete Random Variables

Probability Mass Functions

Cumulative Distribution Functions for Discrete Random Variables

Expected Value for Discrete Random Variables

Expected Value for a Binomial Random Variable

Expected Value for a Hypergeometric Random Variable

Expected Value of a Function of a Discrete Random Variable

Variance of a Random Variable

Variance (Discrete Example)

Poisson Distributions Basics

Binomial Basics

Negative Binomial Basics

Basic Games of Chance

Description:

Explore the fundamental concepts of discrete random variables in this comprehensive lecture. Delve into an introduction to random variables before focusing on binomial and hypergeometric distributions. Learn about probability mass functions, cumulative distribution functions, and how to calculate probabilities for discrete random variables. Understand the concepts of expected value and variance, with specific examples for binomial and hypergeometric random variables. Examine Poisson, binomial, and negative binomial distributions, and apply these concepts to basic games of chance. Gain a solid foundation in probability theory and its practical applications through this in-depth exploration of discrete random variables.

Discrete Random Variables

Professor Knudson

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#Mathematics #Statistics & Probability #Binomial Distribution #Probability Theory #Poisson Distribution #Data Science #Expected Values #Cumulative Distribution Functions #Discrete Random Variables

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