Theorem 5.2. Two random variables X and Y with joint p.d.f. f(x, y) are stochastically independent if and only if fx, y(x, y) can be expressed as the product of a non-negative function of x alone and a non-negative function of y alone, i.e., if fxy(x, y ) = lix (x). kỵ (y), where h (.) 20 and k (.) 2 0.

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A: Given:

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A:

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A: