The random variables Y1 and Y2, for −1 ≤ α ≤ 1, have a joint density function given by f(y1, y2) = [1 − α{(1 − 2e−y1)(1 − 2e−y2)}]e−y1 − y2, 0 ≤ y1, 0 ≤ y2, 0, elsewhere, and established that the marginal distributions of Y1 and Y2 are both exponential with mean 1. (a) Find E(Y1) and E(Y2). E(Y1) = E(Y2) = (b) Find V(Y1) and V(Y2). V(Y1) = V(Y2) =