Binomial Distribution

Notation:

$X \sim \mathcal{B}(n, p)$

Probability Mass Function:

$P(X=x)={n \choose x} p^x(1-p)^{n-x}$

where:

Mean:

$\mathrm{E}[X]=np$

Variance:

$\mathrm{Var}[X]=np(1-p)$

References:

  1. Binomial Distribution - Wikipedia
  2. Binomial Distribution - Wolfram MathWorld