Question: Problem 2 (20 points): Consider the homogeneous Markov chain whose state diagram is 1 1-p 2 1-q (1) (5 points) Find P, the probability transition

Problem 2 (20 points): Consider the homogeneous Markov chain whose state

Problem 2 (20 points): Consider the homogeneous Markov chain whose state diagram is 1 1-p 2 1-q (1) (5 points) Find P, the probability transition matrix. (2) (5 points) Under what conditions (if any) will the chain be irreducible and aperiodic? (3) (5 points) Solve for the equilibrium probability vector . 4) (5 points) What is the mean recurrence time for state 2? Problem 2 (20 points): Consider the homogeneous Markov chain whose state diagram is 1 1-p 2 1-q (1) (5 points) Find P, the probability transition matrix. (2) (5 points) Under what conditions (if any) will the chain be irreducible and aperiodic? (3) (5 points) Solve for the equilibrium probability vector . 4) (5 points) What is the mean recurrence time for state 2

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