# Question: The joint pmf of X and Y is f x y

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.

(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.

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