Bernoulli Distribution

Overview

  • The Bernoulli distribution models the outcomes of a single binary experiment with two possible outcomes: success (1) and failure (0).

Use Case

  • Used when there are only two possible outcomes in a random experiment, such as flipping a coin, single trial success or failure, or whether a single event occurs or not.

Formula

  • Probability Mass Function (PMF):
    • ( p ): Probability of success (getting 1)

Example

  • Coin Flipping:
    • Let (fair coin).
    • PMF:
      • (probability of getting heads)
      • (probability of getting tails)