Question: Consider a discrete time Markov chain with states {1, 2, 3, 4, 5} and the following TPM. Please determine the classes of the system and

Consider a discrete time Markov chain with states {1, 2, 3, 4, 5} and the following TPM. Please determine the classes of the system and whether they are recurrent, transient, or absorbing. Also, determine which, if any, states are ergodic and whether the Markov chain is irreducible ergodic, ergodic, or not ergodic. 0.8 0 0 0.2 0.3 0 0 0.7 P = 0.3 0 0.5 0.2 0 0.1 0 0.9 1 0 0 0

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