Question: I need help on how to do &=%+Z& m>n i=1 where X1, X2, . . . is a sequence of i.i.d. random variables independent of

I need help on how to do

&=%+Z& m>n i=1 where X1, X2, . . . is a sequence of i.i.d. random variables independent of the random variable So such that M&=+U=M&=-= a>u l 2 (a) Compute the expected value E[Sn] for all n 2 0. (b) Show that 1E[Sn+1|Sn] = Sn (n 2 0). Carefully justify each step of your computations. (c) Suppose that (Sn)n=0,1,2,_,_ represents the prot and loss from $1 bets of a gambler with initial capital 50 Who is repeatedly playing a fair game With 50% chances to Win or lose her stake. What are the interpretations of the results in (a) and (b)

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