# Question

Check whether X and Y are independent if their joint probability distribution is given by

(a) f (x, y) = 1/4 for x = - 1 and y = - 1, x = - 1 and y = 1, x = 1 and y = - 1, and x = 1 and y = 1;

(b) f (x, y) = 1/3 for x = 0 and y = 0, x = 0 and y = 1, and x = 1 and y = 1.

(a) f (x, y) = 1/4 for x = - 1 and y = - 1, x = - 1 and y = 1, x = 1 and y = - 1, and x = 1 and y = 1;

(b) f (x, y) = 1/3 for x = 0 and y = 0, x = 0 and y = 1, and x = 1 and y = 1.

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