Given the table of joint probabilities between three discrete rand om variables X, Y, and Z. 0.08 0.12 0.12 0.06 0.12 0.12 0.16 2;) Evaluate the conditional probability mass function PtX | 2:1). 1)) Are random variables X and 2 independent? Show your solution. c) Given that Y is known, are X and Z conditionally independent? Show your solution. d) Evaluate the conditional expectation of the following function 9(X. Y|Z) : X x Y t 1|Z. (Note that, you need to evaluate the expectation for both values of Z.)