Bernoulli distribution: parameters, PMF, mean, variance.

• $E[X]\; = \;p^{2}$
• PMF: P(X=1)=p, P(X=0)=1-p; E[X]=p; $\operatorname{Var}(X) = p(1 - p)$ max at p=0.5
• $\operatorname{Var}(X)\; = \;p$
• Only continuous

Bernoulli: E[X] = p, $\operatorname{Var}(X)\; = \;p(1 - p)$.