Statistics question

3. The joint probability mass function of X and Y is given by Px,y (1, 1) = -, Px,Y (1, 2) = Px,y (1, 3) = 8 1 H PX,Y (2, 1) = ?' Px,y (2, 2) = , PX,Y ( 2, 3) = (a) (2 pts) Compute the marginal probability mass function of X and that of Y. (b) (2 pts) Compute the mean and variance of X and those of Y. (c) (2 pts) Compute the covariance of X and Y. (d) (2 pts) Compute the correlation of X and Y. (e) (2 pts) Find the conditional probability mass function of X given Y = 1. (f) (2 pts) Are X and Y independent? Explain. (g) (2 pts) Compute P(XY 2). (i) (2 pts) Compute P(X/Y > 1)