prove the following propositions: I need both items thanks n An 5. Let X1, X2,. . . iid such that X, ~ U [0, 1]. Prove that but does not converge to 0 almost insurance. 6. Let X1, X2,. .. iid with X1 ~ U [0, 1]. Find the almost certain limit of the geometric mean (II Xx ) 1 / m k=1