The transition matrix for a Markov process is given by State State 1 State 2 A|w A|1- 1- aa|1- ox|u-1 N (a) What does the entry 3 = i represent? 22 6 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 g. (Q The conditional probability that the outcome state 2 will occur given that the outcome state 2 has occurred is g. Q None of these are correct. J (b) Given that the outcome state 1 has occurred, what is the probability that the next outcome of the experiment will be state 2? -x (c) If the initial-state distribution is given by 1 State 1 S XO _ 4 State 2 _ 5 find TXO, the probability distribution of the system after one observation. 11/15 X1: 4/15 X