A stationary probability

MediumStochastic Processes~4m

A two-state Markov chain has transition matrix $\begin{pmatrix}0.8&0.2\\0.4&0.6\end{pmatrix}$ . What is the stationary probability of state A? Give a decimal to four places.

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Set inflow equal to outflow for state A.
$\pi_A\cdot0.2=\pi_B\cdot0.4$ .

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0.6667 (± 0.001)

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A stationary probability

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