(14) The transition matrix for a Markov chain with three states is 0.5 0.2 0.3 0.1 0 1 0.3 0.6 0 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:

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Chapter1: Combinatorial Analysis
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(14) The transition matrix for a Markov chain with three states is
0.3
0.5 0.21
0.6
0.3 0.1
0 0 1
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:(14) The transition matrix for a Markov chain with three states is 0.3 0.5 0.21 0.6 0.3 0.1 0 0 1 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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