For the attached transition probability matrix for a Markov chain. a) Compute P{X2 = 3|X0 = 3}. b) Compute limn→∞ P{Xn = 2|X0 = 4}.

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For the attached transition probability matrix for a Markov chain.

a) Compute P{X2 = 3|X0 = 3}.
b) Compute limn→∞ P{Xn = 2|X0 = 4}.
(Let x denote this probability, and condition on the first transition when the Markov chain begins in state 4.)

1
2
3
4
0 0.1
а
2
P =
3
b
1
0.4
0.6
4
0.1
0.3 0.2 0.4
Transcribed Image Text:1 2 3 4 0 0.1 а 2 P = 3 b 1 0.4 0.6 4 0.1 0.3 0.2 0.4
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