Binomial Random Variable

A Random Variable distributed from Binomial Distribution. $X\sim \text{Binomial}(n,p)$

PMF

$p_X(x)=P(X=x)=\left(\genfrac{}{}{0ex}{}{n}{x}\right)p^x{q}^{n-x},\forall x\in \{0,\dots ,n\}$

• With $q=1-p$

Example