Consider the following stochastic matrices 3 P. 0. 1 P. Pa = 1 3 0 0 0 0 0 1 1 (i) Draw state transition diagrams for the DTMCS having Pa, P,, Pe, and Pa as their one-step transition matrices.

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Consider the following stochastic matrices
P.
P.
1
1
1
4
4
1
1
P.
1
1
Pa =
8
1
1
3
0 0
0 0
1
1.
(i) Draw state transition diagrams for the DTMCS having Pa, Po, Pe, and Pa as their one-step
transition matrices.
(ii) Determine the communicating classes for each of the DTMCS having Pa, P., Pe, and Pa as
their one-step transition matrices.
(iii) Classify the states in the classes as either recurrent or transient.
HIN O
HIN O
Transcribed Image Text:Consider the following stochastic matrices P. P. 1 1 1 4 4 1 1 P. 1 1 Pa = 8 1 1 3 0 0 0 0 1 1. (i) Draw state transition diagrams for the DTMCS having Pa, Po, Pe, and Pa as their one-step transition matrices. (ii) Determine the communicating classes for each of the DTMCS having Pa, P., Pe, and Pa as their one-step transition matrices. (iii) Classify the states in the classes as either recurrent or transient. HIN O HIN O
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