Binomial

Typically used for total number of successes in n independent Bernoulli trials.

Notation

$$B(n, p)$$

Range

$$0, 1, \ldots, n$$

Probability mass function p(x)

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

Mean

$$np$$

Variance

$$np(1 - p)$$