c) If the initial-state distribution is given by State 1 5 State 2 find TXg, the probability distribution of the system after one observation. 3/4 1/4

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The transition matrix for a Markov process is given by
State
1
2
1
2
State 1
4
3
T=
3
State 2
4
3
(a) What does the entry a2 =
represent?
The conditional probability that the outcome state 2 vill 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
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
O 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?
3/4
(c) If the initial-state distribution is given by
State 1
X =
State 2
find TX, the probability distribution of the system after one observation.
3/4
X =
1/4
Transcribed Image Text:The transition matrix for a Markov process is given by State 1 2 1 2 State 1 4 3 T= 3 State 2 4 3 (a) What does the entry a2 = represent? The conditional probability that the outcome state 2 vill 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 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 O 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? 3/4 (c) If the initial-state distribution is given by State 1 X = State 2 find TX, the probability distribution of the system after one observation. 3/4 X = 1/4
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