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Answer:
Solution
fXY(x,y)=∫∞−∞fXYZ(x,y,z)dz=∫1013(x+2y+3z)dz=13[(x+2y)z+32z2]10=13(x+2y+32),for0≤x,y≤1.
Thus,
fXY(x,y)=⎧⎩⎨⎪⎪13(x+2y+32)00≤x≤1,0≤y≤1otherwise
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