For each of the following Markov chains, determine the long run fraction of the time that each state will be occupied. 3 3 (a) 1 1 2 0.8 0.2 (b) 0.2 0.8 0.8 0.2 A) 0.6 and 0.4 , 0.64, 0.2 and 0.16 B) 0.3 and 0.7, 0.64,0.2 and 0.16 C) 0.6 and 0.4, 0.55,0.25 and 0.15 D) None of the answer choices are correct.

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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For each of the following Markov chains, determine the long run fraction of the time that
each state will be occupied.
1
3
3
(a)
1
1
-
2
2
0.8 0.2
(b)
0.2 0.8
0.8 0.2
A)
0.6 and 0.4, 0.64,0.2 and 0.16
В)
0.3 and 0.7, 0.64,0.2 and 0.16
C)
0.6 and 0.4, 0.55,0.25 and 0.15
D)
None of the answer choices are correct.
Transcribed Image Text:For each of the following Markov chains, determine the long run fraction of the time that each state will be occupied. 1 3 3 (a) 1 1 - 2 2 0.8 0.2 (b) 0.2 0.8 0.8 0.2 A) 0.6 and 0.4, 0.64,0.2 and 0.16 В) 0.3 and 0.7, 0.64,0.2 and 0.16 C) 0.6 and 0.4, 0.55,0.25 and 0.15 D) None of the answer choices are correct.
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