Question: Consider a random walk Xt, t = 0, 1, 2, 3, . . ., on the hypercube = {0, 1}N . For w in the

Consider a random walk Xt, t = 0, 1, 2, 3, . . ., on the hypercube = {0, 1}N . For w in the hypercube let |w| := PN i=1 wi denote the number of ones in w. (a) In the long run, what fraction of times does the random walker has exactly k many ones, for k = 0, 1, 2, . . . , N

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