Course Solutions Uncategorized (Solved) : 4 10 Points Consider Markov Chain State Space S 1 2 3 4 Following Transition Matrix 1 2 1 Q33389221 . . . .

(Solved) : 4 10 Points Consider Markov Chain State Space S 1 2 3 4 Following Transition Matrix 1 2 1 Q33389221 . . . .

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4. (10 points) Consider a Markov chain on the state space S-1,2,3,4,) with the following transition matrix 1/2 1/2 0 0 0 4/5 0 00 1/5 5/6 0 000 That is, Pj-1/(i + 1) ifj-1, P,-1/(i + 1) ifj-it i, and P,-0 otherwise. (a) Classify all states of the Markov chain (transient, recurrent) (b) Determine if the Markov chain is irreducible.

4. (10 points) Consider a Markov chain on the state space S-1,2,3,4,) with the following transition matrix 1/2 1/2 0 0 0 4/5 0 00 1/5 5/6 0 000 That is, Pj-1/(i + 1) ifj-1, P,-1/(i

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(Solved) : 4 10 Points Consider Markov Chain State Space S 1 2 3 4 Following Transition Matrix 1 2 1 Q33389221 . . . .

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