In a random experiment, let A and B be two independent events with P(A) = P(B) = P . In an outcome of the experiment, let X be the number of these events that occur (0, 1, or 2). Find E[X] and V[X] .

a) E[X] = P , V[X] = 2P(1 - P)
b) E[X] = 2P , V[X] = P(1 - P)
c) E[X] = P , V[X] = P(1 - P)
d) E[X] = 2P , V[X] = 2P(1 - P)