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

This video explores the Poisson distribution, a fundamental probability distribution that quantifies the likelihood of rare events occurring. Learn why the normal approximation fails for low-probability events and follow the mathematical derivation of the Poisson distribution as another limit of the binomial distribution. Apply this knowledge through a practical example of lightbulb failure analysis. The 13-minute lecture, produced at the University of Washington with funding from the Boeing Company, is presented by Steve Brunton and organized into clear chapters covering introduction, limitations of normal approximation, derivation of the Poisson formula, practical application, and conclusion.