Let Y1, Y2, . . . , Yn denote a random sample of size n from a population with a uniform distri- bution on the interval (0, 9). Let YO!) = maX(Y1, Y2, . . . , Y\") and U = (1/6)Y(n). a Show that U has distribution function 0, u 1. b Because the distribution of U does not depend on 9, U is a pivotal quantity. Find a 95% lower condence bound for 9