Bernoulli distribution for JEE

Formula

For \(X\in\{0,1\}\), \(P(X=x)=p^x(1-p)^{1-x}\), \(E(X)=p\), \(\operatorname{Var}(X)=p(1-p)\)

Variables: \(p=P(X=1)\), \(0\le p\le 1\).

Conditions: Single success-failure trial.

Indicator random variable; one-trial probability models.