Suppose that Uness, ,, are n iid. Uniform (0, 1) random variables, and the order statistics are Un SUin 24 Upp. The result in problem I has a much stronger extension it is well known that (or/ing. Day/Ven Ven-1/0m) not only is Independent of Up), but also has the same joint distribution of the order statistics of n-1 Lid Uniform(0, 1) random variables Use these well-known facts and a proof by Induction on a to show that for any 0 Go