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A rental car company has cars at Location X and Location Y. The transition matrix for weekly movement is \(\mathbf{T} = \begin{pmatrix} 0.8 & 0.4 \\ 0.2 & 0.6 \end{pmatrix}\).
Initially, \(50\pourcent\) of the cars are at X and \(50\pourcent\) are at Y.
Find the distribution of cars after 1 week.
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