Discrete Probability Distributions

Overview

Explore discrete probability distributions in this comprehensive video series. Gain a solid foundation in discrete random variables and their probability distributions. Learn about expectation and variance of discrete random variables. Dive into specific distributions including Bernoulli, binomial, hypergeometric, Poisson, geometric, negative binomial, and multinomial. Solve example problems involving various distributions. Understand the relationship between binomial and Poisson distributions, including a proof of their convergence. Conclude with an overview of key discrete probability distributions, reinforcing your understanding of their characteristics and applications.

Syllabus

An Introduction to Discrete Random Variables and Discrete Probability Distributions.
The Expected Value and Variance of Discrete Random Variables.
Introduction to the Bernoulli Distribution.
An Introduction to the Binomial Distribution.
An Introduction to the Hypergeometric Distribution.
An Introduction to the Geometric Distribution.
An Introduction to the Poisson Distribution.
Discrete Probability Distributions: Example Problems (Binomial, Poisson, Hypergeometric, Geometric).
The Relationship Between the Binomial and Poisson Distributions.
Proof that the Binomial Distribution tends to the Poisson Distribution.
Introduction to the Negative Binomial Distribution.
Introduction to the Multinomial Distribution.
Overview of Some Discrete Probability Distributions (Binomial,Geometric,Hypergeometric,Poisson,NegB).