Problem 2) Consider a Markov chain with states 0, 1, 2 and the following transition probability matrix 1/2 1/3 1/61 P =|0 1/3 2/3 l1/2 1/2] If p(Xo = 0) = 0.25 and p(Xo = 1) = 0.25, then find p(X2 = 1).

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 2) Consider a Markov chain with states 0, 1, 2 and the following transition probability matrix
[1/2 1/3 1/61
P =| 0 1/3 2/3
1/2]
li/2
If p(Xo = 0) = 0.25 and p(Xo = 1) = 0.25, then find p(X2 = 1).
%3D
Transcribed Image Text:Problem 2) Consider a Markov chain with states 0, 1, 2 and the following transition probability matrix [1/2 1/3 1/61 P =| 0 1/3 2/3 1/2] li/2 If p(Xo = 0) = 0.25 and p(Xo = 1) = 0.25, then find p(X2 = 1). %3D
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