Answer to Question #23395 in Statistics and Probability for sheila

Question

The variance of Bernoulli random variable is π(1-π) where π is the probability of a successful Bernoulli trial (i.e. probability that x = 1). Using the formula for the probability function (p.f.) of a Bernoulli random variable, and the formula for variance, prove that V(X) = π(1-π).