Define a sequence X 1 , . . . , X n of independent random variables such
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Define a sequence X1, . . . , Xn of independent random variables such that for each k = 1, . . . , n, Xk = ±1, with probability 1/2 each. Let S = X1 +· · · + Xn. This model describes a simple symmetric random walk that starts at the origin and moves left or right at each unit of time. Find E[S] and V[S].
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