(1 point) Consider two discrete random variables X and Y, where X is drawn from the Bernoulli(1/2) distribution and Y is drawn from the conditional distribution of Y given X = x, with conditional probability mass function p(y x = 0) = 10 1 y=0 otherwise and p(y x = 1) =. y = 1 otherwise (a) Compute the unconditional expectation of X, that is, compute E(X): (b) Compute the conditional expectation of Y given X = 1, that is, compute E(Y|X=1): (c) Compute the unconditional expectation of Y, that is, compute E(Y): (d) Compute the expectation of X Y, that is, compute E(X Y): (e) Compute the covariance of X and Y, that is, compute Cov(X Y): (f) Compute the variance of X + Y, that is, compute V(X + Y): (9) Compute the variance of the sample mean of X and Y, that is, compute V((X + Y) / 2): (h) Compute the variance of the sample mean of X and Y, that is, compute V((X + Y) / 2), assuming that X and Y were independent Bernoulli(1/2)