Question: Exercise 12.51 Consider the asymmetric random walk on the line Z that moves one step rightwards with probability p, or one step leftwards with probability

Exercise 12.51 Consider the asymmetric random walk on the line Z that moves one step rightwards with probability p, or one step leftwards with probability q (= 1 − p). Show that the walk is recurrent if and only if p = 1 2

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