Find the proportion of the state 2 population that is in state 3 after two time periods.

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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Question 9

.3 .7 .4
In Exercises 9-12, let T = .4 .2 .1 be the
[.3 .1 .5]
transition matrix for a Markov chain, and let P =
.3
is i i
.2 be the initial
[.5]
population distribution vector.
onl
th 0
m
9
9. Find the proportion of the state 2
population that is in state 3 after two time
periods.
Transcribed Image Text:.3 .7 .4 In Exercises 9-12, let T = .4 .2 .1 be the [.3 .1 .5] transition matrix for a Markov chain, and let P = .3 is i i .2 be the initial [.5] population distribution vector. onl th 0 m 9 9. Find the proportion of the state 2 population that is in state 3 after two time periods.
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