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a) If the joint density of X and Y is given by: ( x+y ) e f ( x, y ) = , x >

a) If the joint density of X and Y is given by: ( x+y ) e f ( x, y ) = , x > 0, y > 0 02 O elsewhere Using the distribution technique, find the probability density of W =2X + 2Y and hence determine the distribution of W. (8 marks)

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