The transition matrix for a Markov chain with three states is (0.3 0.5 0.21 0.6 0.3 0.1 0 01 For a group of 100 individuals in state 1 at time 0, the variance of the number of individuals in state 1 at time 3 is:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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The transition matrix for a Markov chain with three states is
(0.3 0.5 0.21
0.6 0.3 0.1
001
For a group of 100 individuals in state 1 at time 0, the variance of the number of
individuals in state 1 at time 3 is:
(a) 20.8791
(b) 19.6521
(c) 7.8763
(d) 0.4695
Transcribed Image Text:The transition matrix for a Markov chain with three states is (0.3 0.5 0.21 0.6 0.3 0.1 001 For a group of 100 individuals in state 1 at time 0, the variance of the number of individuals in state 1 at time 3 is: (a) 20.8791 (b) 19.6521 (c) 7.8763 (d) 0.4695
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