Given the following transition matrix, what is the probability that the chain is in State 3 in the long run? Give your answer in 3 decimal plac 0.25 0.5 0.25 0.5 0.5 0 O 05 05

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 3EQ: In Exercises 1-4, let P=[0.50.30.50.7] be the transition matrix for a Markov chain with two states....
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Given the following transition matrix, what is the probability that the chain is in State 3 in the long run? Give your answer in 3 decimal places.
0.25 0.5 0.25.
(0.5 0.5 0
0 0.5 0.5
Consider the Markov Chain in Example 1, suppose Xo=2, find P(X3=3). Give your answer in 3 decimal place.
0.5 0.5 0 0
0 0.5 0.50
0 0.5 0.5)
0 0 1
Transcribed Image Text:Given the following transition matrix, what is the probability that the chain is in State 3 in the long run? Give your answer in 3 decimal places. 0.25 0.5 0.25. (0.5 0.5 0 0 0.5 0.5 Consider the Markov Chain in Example 1, suppose Xo=2, find P(X3=3). Give your answer in 3 decimal place. 0.5 0.5 0 0 0 0.5 0.50 0 0.5 0.5) 0 0 1
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