Probability Distributions Courses and Certifications

Insights into Mathematics

Random Variables, Means, Variance, and Standard Deviations in Probability and Statistics

Learn how a random variable’s probability distribution yields its expected value, variance, and standard deviation, illustrated with a lottery example.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Steve Brunton

The Gamma Distribution: Waiting Time for the r-th Event in a Poisson Process

Explore the gamma distribution, its relationship to exponential distribution, and its derivation as the waiting time for the r-th event in a Poisson process, with practical examples.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Steve Brunton

Computing the Expectation and Variance of an Exponential Distribution

Master expectation and variance calculations for exponential distributions through step-by-step mathematical examples and median computation techniques.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Steve Brunton

The Chi Squared Distribution: The Square of the Normal Distribution

Explore the Chi-squared distribution, its relationship to Gaussian variables, and its applications in statistical comparisons of distributions.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Steve Brunton

The Poisson Distribution: The Rare Event Limit of a Binomial Distribution

Explore the Poisson distribution, a key probability model for rare events derived from the binomial distribution, with applications like predicting lightbulb failures.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Great Learning

Normal Distribution Probability - Standard Normal Distribution - Normal Distribution and Z Scores

Learn to solve probability and normal-distribution problems, use Bayes theorem, and calculate sample sizes through worked examples.

• YouTube
• 2 hours 44 minutes
• Self-Paced
• Free Video

The Julia Programming Language

Random Variables as Types - Lecture 11

Model random variables in Julia using abstract types, Gaussian distributions, sampling, and generic programming.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Serrano.Academy

The Binomial and Poisson Distributions

Learn the Poisson distribution by deriving it as a limit of the binomial distribution, using store-arrival and coin-flipping examples.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

statisticsmatt

Statistical Distributions

2 ratings

Derive central and noncentral distributions, bivariate distributions, mixtures, and exact distributions for sample statistics.

• YouTube
• 2 hours 30 minutes
• Self-Paced
• Free Video

UofU Data Science

Discrete Random Variables: Bernoulli, Binomial, and Geometric - Lecture 6B

Master discrete probability concepts through Bernoulli, Binomial, and Geometric random variables, including factorial calculations and cumulative distribution functions.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Multinomial Distribution and Multivariate Normal Distribution

Explore the concepts of multinomial distribution and multivariate normal distribution in this concise statistical theory lecture.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Application of Uniform Distribution and Exponential Distribution

Explore the application of Poisson, continuous uniform, and exponential distributions in this concise statistical overview.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Professor Knudson

Moment Generating Functions

1 rating

A focused eight-part treatment of moment generating functions in probability.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Distributions

Introduces PMFs, PDFs, CDFs, and calculations for binomial, Poisson, hypergeometric, exponential, normal, t, and chi-squared distributions.

• YouTube
• 2 hours 30 minutes
• Self-Paced
• Free Video

statisticsmatt

Mean, Variance, Moments, Mode of Distributions

Derive means, variances, moments, modes, and related functions for a wide range of discrete and continuous probability distributions.

• YouTube
• 9 hours
• Self-Paced
• Free Video