Q5. Let W Let = [1] EN NIM J SIE be the transition matrix for a Markov chain with three states. T1207 180 be the initial state vector for the population. 90 (1) Compute z, and 1₂. (ii) What proportion of the state 1 population will be in state 1 after two steps? (iii) What proportion of the state 3 population will be in state 2 after two steps? (iv) Find the steady state vector.
Q5. Let W Let = [1] EN NIM J SIE be the transition matrix for a Markov chain with three states. T1207 180 be the initial state vector for the population. 90 (1) Compute z, and 1₂. (ii) What proportion of the state 1 population will be in state 1 after two steps? (iii) What proportion of the state 3 population will be in state 2 after two steps? (iv) Find the steady state vector.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5.
![Q5. Let
be the transition matrix for a Marko chain with three states.
[120]
Let L=
180 be the initial state vector for the population.
90
(1) Compute r, and 2,
(1) What proportion of the state I population will be in state
1 after two steps?
(iii) What proportion of the state 3 population will be in state
2 after two steps?
(iv) Find the steady state vector.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F994dc075-266a-4be5-a7c4-3554b5f831d5%2Fce057adb-2950-485e-bedf-a314e87fd7bc%2F0wh1dxn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q5. Let
be the transition matrix for a Marko chain with three states.
[120]
Let L=
180 be the initial state vector for the population.
90
(1) Compute r, and 2,
(1) What proportion of the state I population will be in state
1 after two steps?
(iii) What proportion of the state 3 population will be in state
2 after two steps?
(iv) Find the steady state vector.
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