Let X and Y be identicalh.r and independently distributed standard normal random variables: 1 _ f(1)=vr?e 2,m

Let X and Y be identically and independently distributed standard normal random variables: 1 = X2 + Y2 andV a) Find the joint density function of U b) Are U and V independent? c) What is the marginal distribution of U? d) What is the marginal distribution of V?