Binomial Distribution

**Semantic type:** Quantitative Concept

**Definition:** A family of discrete probability density functions, which models systems that meet the following requirements: 1) the number of trials (n) is fixed; 2) there are only two outcomes for each trial, success or failure; 3) the outcome of each trial is independent; and 4) all trials have the same probability (p) of success. Binomial distributions show the likelihood of the number of successful trials versus the total number of trials.