Question: Probability and Stochastic Processes QUESTION 6 Consider a random walk with four states 0, 1, 2, 3 for which PL;- 2 0, P3,; = 1

Probability and Stochastic Processes

QUESTION 6 Consider a random walk with four states 0, 1, 2, 3 for which PL;- 2 0, P3,; = 1 and p = pill-+1 = g for :7 = 1, 2. (6.1) Write down the transition probability matrix. (6) (6.2) Find the limiting probabilities of such a Markov chain. (14)

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