The joint probability distribution of Y1 and Y2 is given byf(y1, y2) = (6*y1^2*y2 , 0 ≤ y1 ≤ y2, y1 + y2 ≤ 2 , 0-elsewhere

a) Find marginal density functions. Are Y1 and Y2 independent?b) Find P(0 < Y1 < 1, 1 < Y2 < 2). c) Find P(Y2 >Y1).