In: Statistics and Probability
please show all the steps and in order
Q.5 Let X and Y be continuous rvs with the joint pdf
f(x, y) = 60(x^2)y, for 0 < x, 0 < y, 0 < x + y < 1 and 0 otherwise.
(a) Find E[X + Y ] and E[X − Y ]
(b) Find E[XY ]
(c) Find E[Y |X = x] and E[X|Y = y].
(d) Find Cov[X, Y ]