Consider two discrete random variables X, Y. Theirjoint probability mass function is For these two random variables 0 The conditional probability mass function P(Y|X) is identical to the marginal (also known as total) probability mass function P(Y) O The conditional probability mass function P(Y|X) does not equal the marginal (also known as total) probability mass function of Y. O The conditional probability mass function P(Y|X) equals the marginal probability mass function P(X) Q It is the case that the random variables are independent. a'il 14 11a The conditional probability mass function of random variable Y given X is f(y I 3:) = :2: for x=0,1,2,3, and y=0,1 The marginal density functions of X and Y, respectively, are f(x)=%(2m2+1), m=0,1,2,3 Hy) =(2y2+7), y=0,1 Thus, P(X