We roll a fair six-sided die with outcomes n E {1, 2, 3, 4, 5, 6}. We define the random variables X, Y, Z as: X(n =n, Y(n) = 1: n is even -1: n is odd Z(n) = 1 :n 3 (a) Give the joint pmfs Px,y, Px,z and py,z as tables. (b) Compute the covariances cov (X, Y), cov(X, Z) and cov(Y, Z). (c) Are X and Y independent? Are X and Z independent? Are Y and Z indepen dent