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,......................... The transition matrix for a Markov process is given by State 1 2 1 3 State 1 6 4 T' 5 1 State 2

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The transition matrix for a Markov process is given by State 1 2 1 3 State 1 6 4 T' 5 1 State 2 6 4 1 (a) What does the entry .922 - 1 represent? 1 Q The conditional probability that the outcome state 2 will occur given that the outcome state 1 has occurred is :- 1 C- The conditional probability that the outcome state 1 will occur given that the outcome state 2 has occurred is 4 . 1 C- The conditional probability that the outcome state 1 will occur given that the outcome state 1 has occurred is 4 . 1 f:- The conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred is 4 . None of these are correct. I I \\_z [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 XI] I State 2 w|~ w|i-I find TXD, the probability distribution of the system after one observation. X1

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