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Suppose X and Y are both integer valued random variables Let p i j

Suppose X and Y are both integer-valued random variables. Let

p(i|j) = P(X = i|Y = j)

and

q(j|i) = P(Y = j|X = i)

Show that

p(i|j) = P(X = i|Y = j)

and

q(j|i) = P(Y = j|X = i)

Show that

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