The joint pmf of X and Y is f(x, y) = 1/6, 0 x + y

Question:

The joint pmf of X and Y is f(x, y) = 1/6, 0 ≤ x + y ≤ 2, where x and y are nonnegative integers.
(a) Sketch the support of X and Y.
(b) Record the marginal pmfs fX(x) and fY(y) in the “margins.”
(c) Compute Cov(X, Y).
(d) Determine ρ, the correlation coefficient.
(e) Find the best-fitting line and draw it on your figure.