3. (16 pts) Let XGeom(a) be independent of YGeom(b), where 0<a<1 and 0<b<1. Let Z=X+Y. (a)
(4 pts) Find pZX(zx). (b) (4 pts) Find E(ZX). (Your answer should be a function of X.) (c) (4 pts)
Find pXZ(xz). (d) (4 pts) Find E(XZ)..
3 16 pts Let XGeoma be independent of YGeomb where 0.pdf
1. 3. (16 pts) Let XGeom(a) be independent of YGeom(b), where 0<a<1 and 0<b<1. Let Z=X+Y. (a)
(4 pts) Find pZX(zx). (b) (4 pts) Find E(ZX). (Your answer should be a function of X.) (c) (4 pts)
Find pXZ(xz). (d) (4 pts) Find E(XZ).