Question: Let the joint density function of two random variables X and Y be (a) Derive the marginal distributions of X and Y. (b) Determine whether

Let the joint density function of two random variables X and Y be

y-11 x \y -1 0 1 -1 || 222 .1 .1 .2

(a) Derive the marginal distributions of X and Y.

(b) Determine whether X and Y are independent.

(c) Verify your answer in

(b) using the conditional distribution(s).

y-11 x \y -1 0 1 -1 || 222 .1 .1 .2

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