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Properties of Bernoulli random variables
If X ~ Ber(
p
), then
Mean: E(X) = 0(1 -
p
) + 1(
p
) =
p
.
Variance: Var(X) = E(X2 ) – μ2
E(X2 ) = 02 (1 -
p
) + 12
p
=
p
.