22. Suppose {Xn, n ≥ 1} are random variables on the probability space (2, B, P) and define the induced random walk by So = 0, Let Sn=Xi, n ≥ 1. Exi, 2 i=1 T := inf{n > 0: Sn>0} be the first upgoing ladder time. Prove r is a random variable. Assume we know T (w) <∞o for all we S2. Prove S, is a random variable.

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