A Markov chain with state space S = {1,2} is described by the matrix 1-a where 0< a < 1 and 0 < B< 1. 1-3 What is P(X1 = 2|X2 = 2, Xo = 1)?

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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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 with state space S = {1,2} is described by the transition
matrix
1-a
P =
where 0< a < 1 and 0< B < 1.
1-3
What is P(X1 = 2|X2 = 2, Xo = 1)?
%3D
Select one
1- a
2- (a +B)
O A
a (1-3)
(1 – a)² + (1 – B)²
a (1- B)
(1 – a) B+ a (1 – B)
ов
a (1-3)
a (1-a)+ B (1 - B)
OD
Transcribed Image Text:ered A Markov chain with state space S = {1,2} is described by the transition matrix 1-a P = where 0< a < 1 and 0< B < 1. 1-3 What is P(X1 = 2|X2 = 2, Xo = 1)? %3D Select one 1- a 2- (a +B) O A a (1-3) (1 – a)² + (1 – B)² a (1- B) (1 – a) B+ a (1 – B) ов a (1-3) a (1-a)+ B (1 - B) OD
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