3. Let (Sn: n ≥ 0} be a simple random walk with So= 0, and show that Xn = |Sn] defines a Markov chain; find the transition probabilities of this chain. Let Mn max (Sk 0 ≤ k ≤ n}, and show that Yn = MnSn defines a Markov chain. What happens if So # 0? =

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