The joint distribution of a proportion of votes for, Ask an Expert

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The joint distribution of a proportion of votes for candidate X and a proportion of votes for candidate Y is given by fx,y(x,y)=1, 0<=x<2, 0<=y<=1, 2y<=x.

The difference between these proportions is given by U=X-Y.

(a) Find the probability density function for U.

(b) Use the answer in the previous part to find E[U].

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