(5) If, on the first observation, the system is in state 2, what is the probability that on the next four observations it successively occupies states 3, 1, 2, and 1

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 Markov chain has the transition matrix shown below:
[0.6 0.1
0.3
P =
0.8
0.2
1
||
Transcribed Image Text:A Markov chain has the transition matrix shown below: [0.6 0.1 0.3 P = 0.8 0.2 1 ||
(5) If, on the first observation, the system is in state 2, what is the probability that on the next four observations it successively occupies states 3, 1, 2, and 1 (in that
order)?
Transcribed Image Text:(5) If, on the first observation, the system is in state 2, what is the probability that on the next four observations it successively occupies states 3, 1, 2, and 1 (in that order)?
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