Question

Find X2 (the probability distribution of the system after two observations) for the distribution vector X0...

Find X2 (the probability distribution of the system after two observations) for the distribution vector X0 and the transition matrix T.

X0 =

5
6
1
6
0

,    T =

1
2
1
3
1
2
0
1
3
1
4
1
2
1
3
1
4
0 0
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Answer #1

since X2   =X0*T2

doing matrix multiplication (from excel: mmult function):

X2 vector matrix:

=\begin{vmatrix} 53/108\\59/432 \\161/432 \end{vmatrix}

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