Discrete Probability Distributions

This course introduces discrete random variables and their probability distributions, including expectation and variance. It covers Bernoulli, binomial, hypergeometric, geometric, Poisson, negative binomial, and multinomial distributions, with example problems and the binomial–Poisson relationship.

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).