ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Function
Measure
Real measure
Euclidean real measure
Complex measure
Basic measure
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}