Show transcribed image text 3. Let X and Y be independent standard normal random variables. Consider the transforma- tion U = X2 + Y2 and y- a) Find the joint pdf of U and V. b) Show that U and V are independent.
3. Let X and Y be independent standard normal random variables. Consider the transforma- tion U = X2 + Y2 and y- a) Find the joint pdf of U and V. b) Show that U and V are independent.