Let be a r.v. whose density f() = 3 2 for 0 1, and f() =0 otherwise. Let N be the

Let Θ be a r.v. whose density f(θ) = 3θ² for 0 ≤ θ ≤ 1, and f(θ) =0 otherwise. Let N be the number of the first success in a sequence of independent trials with the probability of success equal to Θ. In other words, the probability of success is random being the same for all trials. Find E{N} and Var{N}.