Question: 1.4. A Markov chain X0, X,, X2, . . . has the transition probability matrix Determine the conditional probabilities Pr{X, = 1,X2= 1IX0 =0} and

1.4. A Markov chain X0, X,, X2, . . . has the transition probability matrix

0 1 2 0 || 0.1 0.1 0.1 0.8 = P 1

Determine the conditional probabilities Pr{X, = 1,X2= 1IX0 =0} and Pr{X2= 1,X3= IJX, =0}.

0 1 2 0 || 0.1 0.1 0.1 0.8 = P 1 0.2 0.2 0.6 2 || 0.3 0.3 0.3 0.4

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