The sequence (Xn)n>o is a Markov chain with transition matrix 0 0 0 3 1 4 0 0 4 0 0 0 2 1 1 1 3 0 0 0 0 2 2 (a) Draw the transition diagram for (Xn). (b) Determine the communicating classes of the chain, stating whether each class is recurrent or transient. (c) Determine the period of each communicating class.

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The sequence (Xn)n>o is a Markov chain with transition matrix
0 을
0 0 0
3
1
0 0 0
4
4
0 } 0 0 0
1
2
1
1
0 0
3
3
0 } 0 } 0 0
0 0
0 0 0
(a) Draw the transition diagram for (Xn).
(b)
Determine the communicating classes of the chain, stating whether each class is recurrent or
transient.
(c) Determine the period of each communicating class.
Transcribed Image Text:The sequence (Xn)n>o is a Markov chain with transition matrix 0 을 0 0 0 3 1 0 0 0 4 4 0 } 0 0 0 1 2 1 1 0 0 3 3 0 } 0 } 0 0 0 0 0 0 0 (a) Draw the transition diagram for (Xn). (b) Determine the communicating classes of the chain, stating whether each class is recurrent or transient. (c) Determine the period of each communicating class.
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