Bernoulli Distribution

The Bernoulli distribution models situations with two possible outcomes, often called "success" or "failure," where the chance of success is a fixed probability \( p \). For example, flipping a coin has a Bernoulli distribution if we define "heads" as a success with probability \( p=0.5 \). It helps describe the likelihood of a single trial's result, knowing the probability of success. This distribution is fundamental in statistics and probability theory, especially in scenarios involving binary outcomes, such as quality control (pass/fail) or yes/no surveys.