2.1 A Markov chain has transition matrix 1 3 1(0.1 0.3 0.6) P = 2 30.3 0.2 0.5 0.4 0.6 with initial distribution a = (0.2,0.3,0.5). Find the following: (a) P(X,= 3|X6 = 2) (b) P(X9 = 2|X1 = 2, X5 =...

2.1 A Markov chain has transition matrix<br>1<br>3<br>1(0.1 0.3 0.6)<br>P = 2<br>30.3 0.2 0.5<br>0.4 0.6<br>with initial distribution a = (0.2,0.3,0.5). Find the following:<br>(a) P(X,= 3|X6 = 2)<br>(b) P(X9 = 2|X1 = 2, X5 = 1,X7 = 3)<br>(c) P(Xo = 3|X¡ = 1)<br>(d) E(X2)<br>

Extracted text: 2.1 A Markov chain has transition matrix 1 3 1(0.1 0.3 0.6) P = 2 30.3 0.2 0.5 0.4 0.6 with initial distribution a = (0.2,0.3,0.5). Find the following: (a) P(X,= 3|X6 = 2) (b) P(X9 = 2|X1 = 2, X5 = 1,X7 = 3) (c) P(Xo = 3|X¡ = 1) (d) E(X2)

Jun 11, 2022

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2.1 A Markov chain has transition matrix 1 3 1(0.1 0.3 0.6) P = 2 30.3 0.2 0.5 0.4 0.6 with initial distribution a = (0.2,0.3,0.5). Find the following: (a) P(X,= 3|X6 = 2) (b) P(X9 = 2|X1 = 2, X5 =...

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