Consider the joint distribution of X and Y given in the form of a table below. The cell (i, j) corresponds to the joint probability that x = i, Y = j, for i=1,2,3, j = 1,2,3. Y X T 2 3 1 0 1/6 1/6 2 1/6 3 1/6 0 1/6 1/6 0 Check that this is a proper probability distribution. What is the marginal distribution of X? What is the marginal distribution of Y?