2. Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix (1/2 1/2 0 0 1/7 0 3/7 3/7 1/3 1/3 1/3 0 2/3 1/6 1/6, 0 (b) Find the limiting distribution for this Markov chain. Without doing any more calculations, what can you say about p10) and p200)?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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2.
Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with
transition matrix
1/2 1/2 0 0
1/7] 0 3/7 3/7
1/3 1/3 1/3
0 2/3 1/6 1/6,
0
(b) Find the limiting distribution for this Markov chain.
(100)
(100) ?
Without doing any more calculations, what can you say about P₁,1 and P2,1
Transcribed Image Text:2. Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix 1/2 1/2 0 0 1/7] 0 3/7 3/7 1/3 1/3 1/3 0 2/3 1/6 1/6, 0 (b) Find the limiting distribution for this Markov chain. (100) (100) ? Without doing any more calculations, what can you say about P₁,1 and P2,1
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