Bernoulli Random Variable

  • Definition: Let \(X\) be a Bernoulli random variable, then:
    • \(p_X(0) = 1- p, p_X(1) = p\), where \(p\) is a fixed value in \((0, 1)\) called the Bernoulli parameter.
    • Notation: \(X \sim Bernoulli(p)\)