2 Independence (2 points) Assume X is conditionally independent of Y given Z. Which of the following statements are always true? Note that there may be more than 1 correct answer. (a) P(X, Y) = nag Pun Y, z = a) (b) P(X, Y, Z) = P(X) + P(Y) + P(Z = c), c e 252 (c) P(X,Y|Z) = P(X|Z)P(Y|Z) (d) P(X, Y, Z) = P(X) + P(Y) 13(2) (8) P(Xa Y) = P(X)P(Y)