Index: The Book of Statistical ProofsProbability Distributions ▷ Univariate discrete distributions ▷ Binomial distribution ▷ Definition

Definition: Let $X$ be a random variable. Then, $X$ is said to follow a binomial distribution with number of trials $n$ and success probability $p$

\[\label{eq:bin} X \sim \mathrm{Bin}(n, p) \; ,\]

if $X$ is the number of successes observed in $n$ independent trials, where each trial has two possible outcomes (success/failure) and the probability of success and failure are identical across trials ($p$/$q = 1-p$).


Metadata: ID: D45 | shortcut: bin | author: JoramSoch | date: 2020-03-22, 17:52.