Test X and Y for independence if (a) f XY (x,y) = Ae -|x| -2|y| (b) f

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Test X and Y for independence if 

(a) fXY (x,y) = Ae-|x| -2|y| 

(b) fXY (x,y) = C(1 - x - y), 0 ≤ x ≤ 1- y and 0 ≤ y ≤ 1

Prove your answer.

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