Introduction and Motivation

• A handful of important probability distribution describe many of the discrete random variables encountered in practice.
• Binomial distribution: test the effectiveness of a new drug.
• Hypergeometric distribution: test the number of defective items from a batch of production.
• Negative binomial distribution (Geometric distribution): the number of trial on which the first success occurs.
• Poisson distribution: the number of outcomes occurring during a given time interval or in a specified region.