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Consider a Markov chain {X_n: n = 0,1,....} with the following transition probability matrix P={0 0.45 0.55 0.5 0.2 0.3 0.1 0.9 1 } Assuming

Consider a Markov chain {X_n: n = 0,1,....} with the following transition probability matrix

P={0 0.45 0.55

0.5 0.2 0.3

0.1 0.9 1 }

Assuming the chain is three times as likely to being at time=0 in states 2 or 3, find E(X_2)

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