Consider the Markov chain whose state diagram is given by1/21/21/411/41/2Given that Xo 3, what is the expected (average) number of steps beforebeing absorbed (into state 1 or into state 2)?Hint: You may want to use the first step principle OR you may want to usethe fact that for this chain, the transition matrix is0.0.0.%3D1/21/21/4 1/2 1/40.0.Select one:O A. 14/5O B. 7/5O C. 9/5O D. 12/5O E. 6/5

From the given information, The transition matrix is, P=100001001200121412140 Let us define…

Answered: Consider the Markov chain whose state…

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Consider the Markov chain whose state diagram is given by 3 1/2 1/2/ 1/4 2 1 1/4 1/2 4

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 17EQ

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Question

Consider the Markov chain whose state diagram is given by
1/2
1/2
1/4
1
1/4
1/2
Given that Xo 3, what is the expected (average) number of steps before
being absorbed (into state 1 or into state 2)?
Hint: You may want to use the first step principle OR you may want to use
the fact that for this chain, the transition matrix is
0.
0.
0.
%3D
1/2
1/2
1/4 1/2 1/4
0.
0.
Select one:
O A. 14/5
O B. 7/5
O C. 9/5
O D. 12/5
O E. 6/5

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