Discrete Bernoulli Distribution

A kind of Discrete Distribution for a random experiment where a single Trial has only two possible Outcomes

• Success (1) with Probability $p$
• Failure (0) with probability $1-p=q$

$$X\sim \text{Bernoulli}(p)$$

• $f(x)=p^x{q}^{1-x}\text{for }x\in \{0,1\}$
• $E(X)=p$
• $\text{Var}(X)=pq$