The transition matrix for a Markov process is given by State 1 2 3 State 1 4 T= 2 1 State 2 3 (a) What does the entry a22 - represent? O The conditional probability that the outcome state 2 will occur given that the outcome state 1 has occurred is O The conditional probability that the outcome state 1 will occur given that the outcome state 2 has occurred is -. O The conditional probability that the outcome state 1 will occur given that the outcome state 1 has occurred is . The conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred is- None of these are correct. (b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2? (c) If the initial-state distribution is given by State 1 State 2 find TX, the probability distribution of the system after one observation. - In + lun

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