Let y1, y2,... , yn denote a random sample of size n from a population with a uniform distribution on the interval (0,theta). let y(n) = max{y1,y2,...,yn} and u = (1/theta)y(n). (a) show that u has distribution function fu(u) = { (b) because the distribution of u does not depend on theta, u is a pivot. find a 95% lower confidence hound for theta.