A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 1 as in 3, is not in state 2, and is in state 4 with probability 0.2. Find the state vector X.

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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A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 1 as in 3, is not in state 2, and
is in state 4 with probability 0.2. Find the state vector X.
Transcribed Image Text:A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 1 as in 3, is not in state 2, and is in state 4 with probability 0.2. Find the state vector X.
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