Let fxig be iid random variables on a probability space ( ; f; p) with common distribution function f. suppose that f(x0) = 1 and f(x) < 1 for all x < x0. letmn = maxfx1; : : : ; xng i. e. = ; : : : ; . show that (a) mn ! x0 in probability (b) does mn ! x0 almost surely? if so prove it, if not provide a coun- terexample.