Let X and Y be the continuous random variables with the joint probability density function io (2y + 3x2) ) ={th (2) = 0 < x < 2,0 1/5, 1/5 < X < 2/5); (c) P(X2 + 2Y? < 1, X2 +Y? > 1/2, X/4 SY < 2X); (d) Plot the regions Ri = {(x,y) : x2 + y2 = 1,x+y > 1/5,1/5 < x < 2/5} and R2 = {(x, y) : x2 + 2y2 < 1,x2 + y2 > 1, x/2 < y < 2x}; (e) Cov(X, Y); (f) Cov(ex, sin(Y)). - > 2