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###### (30 pts) Joint pdf of random variables X and Y is given asae-(r+l)e-(v+l) (-1<1<y < &) fxx(z,y) = O.W.(10 pts) Find fx(r) and determine the value of a. (Fully specify fx(z)) pts) Find frix(ulz) pts) Find E(e-(Y+/Y4X) X > 0 (10 pts) Find the pmfof S, in which S is the sign of XY,i.e-S = XY < 0 XY =0

(30 pts) Joint pdf of random variables X and Y is given as ae-(r+l)e-(v+l) (-1<1<y < &) fxx(z,y) = O.W. (10 pts) Find fx(r) and determine the value of a. (Fully specify fx(z)) pts) Find frix(ulz) pts) Find E(e-(Y+/Y4X) X > 0 (10 pts) Find the pmfof S, in which S is the sign of XY,i.e-S = XY < 0 XY =0

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