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A Markov chain is described by the transition diagram 1/4 1/4 S 1/2 1/2 S SA 1/2 1/2 |1/3 1/2 S) Ss 1/3 So 1/3 Suppose the process starts in state So, what is the probability that the process enters Sz for the first time in the 4th step?

A Markov chain is described by the transition diagram 1/4 1/4 S 1/2 1/2 S SA 1/2 1/2 |1/3 1/2 S) Ss 1/3 So 1/3 Suppose the process starts in state So, what is the probability that the process enters Sz for the first time in the 4th step?

Elementary Linear Algebra (MindTap Course List)
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 is described by the transition diagram 1/4 1/4 S 1/2 1/2 S2 SA 1/2 1/2 1/3 1/2 (S) Ss 1 1/3 So 1/3 Suppose the process starts in state So, what is the probability that the process enters S2 for the first time in the 4th step? Hint: Use the diagram to figure it out. Select one OA 1/144 OB 1/768 OC 1/48 OD 1/192 OE 1/12
Transcribed Image Text:A Markov chain is described by the transition diagram 1/4 1/4 S 1/2 1/2 S2 SA 1/2 1/2 1/3 1/2 (S) Ss 1 1/3 So 1/3 Suppose the process starts in state So, what is the probability that the process enters S2 for the first time in the 4th step? Hint: Use the diagram to figure it out. Select one OA 1/144 OB 1/768 OC 1/48 OD 1/192 OE 1/12
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