Discuss the below:
Q1. X has the U(-Π/2, Π/2) distribution, and Y = tan(X). Show that V has density l/(Π(1 + y2)) for ?oo
Q2. Let X and Y have joint density 2 exp(x- y) over 0 < x
Find the joint density of U = X + Y and V = X/Y. Are U and V independent?