Consider the Markov chain (Xn)nzo with state space S = {0, 1, 2} and transition probability matrix 5 23 P = 0 32150 15 23 4 // 5 1 Let T be the time of absorption in state 2. Compute the following: (a) two-step transition probability P(X₂ = 2 | Xo = 0) = (b) the probability P(T = 2 | Xo = 0) = (c) the mathematical expectation E[T | Xo = 0] =

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