ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
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▼ Zermelo-Fraenkel set theory
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▼ Unsigned basic measure
▼ Unsigned basic integral measure
▼ Radon-Nikodym derivative
▼ Probability mass function
▼ Bernoulli probability mass function
Definition D2873
Binomial probability mass function
Formulation 1
The binomial probability mass function with parameters $N \in \mathbb{N}$ and $\theta \in [0, 1]$ is the D4364: Real function \begin{equation} \{ 0, 1, \ldots, N \} \to \mathbb{R}, \quad n \mapsto \binom{N}{n} \theta^n (1 - \theta)^{N - n} \end{equation}