A Markor chain {X,n=0,1, 2 ..} has initial distribution uo =[0.1,0.3, 0.6]' and transition [0.2 0.3 0.5 matrix P=|0.3 0.2 0.5 having states 0.3 0.3 0.4 (1,2,3), obtain : (i) P [X, = 3] (ii) P [X, = 2, X, = 3] (ii) P [X, = 1, X, = 3, X, = 2]

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(a)
A Markor chain {X,n=0,1, 2, ....} has initial
distribution uo =[0.1, 0.3, 0.6]' and transition
[0.2 0.3 0.5
matrix P=| 0.3 0.2 0.5
having states
0.3 0.3 0.4
(1,2,3), obtain :
(i)
P [X, = 3]
%3D
(ii)
P [X, = 2, X, = 3]
%3D
(ii)
P (X, = 1, X, = 3, X, = 2]
%3D
Transcribed Image Text:(a) A Markor chain {X,n=0,1, 2, ....} has initial distribution uo =[0.1, 0.3, 0.6]' and transition [0.2 0.3 0.5 matrix P=| 0.3 0.2 0.5 having states 0.3 0.3 0.4 (1,2,3), obtain : (i) P [X, = 3] %3D (ii) P [X, = 2, X, = 3] %3D (ii) P (X, = 1, X, = 3, X, = 2] %3D
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