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###### 12. (6 points) The joint probability density function of X and Y is given by flx,y) = 0sxs1, 0<Y<2 Verify that this is indeed a joint density functionFind P(0.2 <X<1; [.8<Y <2)Bonus Problem (5 points)Let X and Y have joint uniform distribution on the region A. Let A be triangle with corners at (0,2), (2,0) and (0,0). Find El xlx=- 2

12. (6 points) The joint probability density function of X and Y is given by flx,y) = 0sxs1, 0<Y<2 Verify that this is indeed a joint density function Find P(0.2 <X<1; [.8<Y <2) Bonus Problem (5 points) Let X and Y have joint uniform distribution on the region A. Let A be triangle with corners at (0,2), (2,0) and (0,0). Find El xlx=- 2

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