The range $S_{x,y}$ can be found by looking at the given conditions for the joint PDF $f_{x,y}(x,y)$. We have $0<y<z$, $2<x<4$, and $0<z<4$. So, the range is a triangular region in the $x-y$ plane with vertices $(2,0)$, $(4,0)$, and $(4,2)$.
Show more…
