Definition: Binomial distribution
Index:
The Book of Statistical Proofs ▷
Probability Distributions ▷
Univariate discrete distributions ▷
Binomial distribution ▷
Definition
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Metadata: ID: D45 | shortcut: bin | author: JoramSoch | date: 2020-03-22, 17:52.
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 ($p$/$q = 1-p$).
- Wikipedia (2020): "Binomial distribution"; in: Wikipedia, the free encyclopedia, retrieved on 2020-03-22; URL: https://en.wikipedia.org/wiki/Binomial_distribution.
Metadata: ID: D45 | shortcut: bin | author: JoramSoch | date: 2020-03-22, 17:52.