Suppose the transition matrix for a Markov process is State A State B State A State B 1-p 1 }], р 0 where 0 < p < 1. So, for example, if the system is in state A at time 0 then the probability of being in state B at time 1 is p. (a) If the system is started in state A at time 0, what is the probability it is in state A at time 2?

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6. Suppose the transition matrix for a Markov process is
State A
State B
State A State B
1
{],
1-P
Р
where 0 < p < 1. So, for example, if the system is in state A at time 0 then the probability
of being in state B at time 1 is p.
(a) If the system is started in state A at time 0, what is the probability it is in state A at time
2?
(b) The transition matrix is stochastic. Is it regular? Why or why not?
Transcribed Image Text:6. Suppose the transition matrix for a Markov process is State A State B State A State B 1 {], 1-P Р where 0 < p < 1. So, for example, if the system is in state A at time 0 then the probability of being in state B at time 1 is p. (a) If the system is started in state A at time 0, what is the probability it is in state A at time 2? (b) The transition matrix is stochastic. Is it regular? Why or why not?
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