Distributionsmedium
0:00.0

Let XX be a random variable representing the number of failures before the first success in a sequence of Bernoulli trials with probability of success pp. If XX follows a Geometric distribution P(X=k)=(1p)kpP(X=k) = (1-p)^k p for k=0,1,2,k=0, 1, 2, \dots, what is the variance Var(X)Var(X)?