Answered: After a long period of time, you…

After a long period of time, you observe the chain and see that it is in state 1. What is the conditional probability that the previous state was state 2? That is, find lim Pr{X,-, = 2|x, = 1}.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.7: Cooridinates And Change Of Basis

Problem 58E

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Question

A Markov chain has the transition probability matrix
0 1
0 || 0.4 0.4 0.2||
P = 1 ||0.6 0.2 0.2|
2 ll0.4 0.2 0.4|
2. Examples
215
After a long period of time, you observe the chain and see that it is in
state 1. What is the conditional probability that the previous state was state
2? That is, find
lim Pr{X,-, = 2X, = 1}.
2.

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