Bernoulli Distribution

Probability · Axiom Academy

The simplest discrete distribution: a single trial with two possible outcomes A random variable X follows a Bernoulli distribution with parameter p if it represents a single trial where: X = 1 (success) with probability p X = 0 (failure) with probability 1 - p 2. Probability Mass Function (PMF) The PMF of a Bernoulli distribution can be written in a compact form that covers both outcomes: 3. Expected Value and Variance The mean and variance of a Bernoulli random variable have elegant closed forms:

This is the written version of the interactive lesson above. See the full Probability course.