Let random variables X and Y be described by the given joint pdf fX,Y (x,y). Define new random variables as V = X + Y and W=2X −Y (1) Find the joint pdf fV,W(v,w) in terms of the joint pdf f X,Y (x,y). (2) Show, using the results of part (a) or in any other valid way, that under suitable conditions for Z = X + Y. What are the suitable conditions?