6 The joint PMF of X and Y is given by y\x -1 0 1 -1...

6 The joint PMF of X and Y is given by

y\x	-1	0	1
-1	p	q	p
0	q	0	q
1	p	q	p

(a) Describe the possible values of p and q.

(b) Find the marginal PMFs of X and Y .

(d) Find the conditional expectation of Y given X = x for x = −1, 0, 1, and deduce cov(X, Y ).

(e) Are X and Y independent? Explain.

PLEASE ANSWER ALL QUESTIONS, THANKS :)

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