1. The problem statement, all variables and given/known data Let U1...Un be independant and uniformly distributed over the unit interval (0,1). Let X be the minimum of U1...Un and Y be the maximum a) Determine P(X > x, Y < y). Consider the following cases: 1) 0< x < y < 1 2) 0 < y 1, x < 0 3) 0 < x < 1, y > 1 4) x < 0, y > 1. 5) all remaining possibilites b) Determine the joint CDF of X and Y c) using b), determine a joint density funtion of X and Y 2. Relevant equations 3. The attempt at a solution for a), is the only possible case that can occur is (1)? since it's on the interval (0,1) so X/Y cannot be smaller than 0, and cannot be bigger than 1? And Y also has to be greater than X, since X is the minimum and Y the maximum. [tex]\int^1_0 \int^Y_0 dx dy[/tex] it doesn't seem right. Any hints?