Bernoulli Distribution

A Discrete Distribution with two outcomes (1 or 0). $X\sim \text{Bernoulli}(p,q)$

• $p$ probability of success
• $q=1-p$ $p_X(1)=P(X=1)=p$ $p_X(0)=P(X=0)=1-p=q$

Closed Form Formula

$P[X=x]={\theta }^x(1-\theta {)}^{1-x};x=0,1$