Consider the Markov chain with transition matrix below. Suppose the initial distribution is \(\mathbf{p}^{(0)}=(1 / 4,1 / 4,1 / 4,1 / 4)\). Find and interpret: (a) \(T^{3}(3,4)\); (b) \(\mathbf{p}^{(0)} \cdot T^{5}(3)\); (c) \(T^{n}(1,1)\).

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