(14) The transition matrix for a Markov chain with three states is0.3 0.5 0.21)0.6 0.3 0.1001.For a group of 100 individuals in state I at time 0, the variance of the number ofindividuals in state 1 at time 3 is:

The given transition matrix for a Markov chain has three states: { state 1, state 2, state 3} The…

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A First Course in Probability (10th Edition)

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c) Consider the transition Markov chain with three states S = (1, 2, 3) as shown below. %3D 1 Given that; P(X, = 1) = 3' fine P(X, = 1,X, = 2,X2 = 3) N/3 1/2 1/2 1/4 1/2 1/4
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5
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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 0.1 001. 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: