Question

Let be a Markov chain, and let

Consider the Markov chain represented below. The circles represent distinct states, while the arrows correspond to positive (one-step) transition probabilities.



For this Markov chain, determine whether each of the following statements is true or false.

(a) For every and , the sequence converges, as , to a limiting value , which does not depend on .


Select an option
unanswered
(b) Statement (a) is true, and for every state .


Select an option
unanswered
Consider the Markov chain represented below. The circles represent distinct states, while the arrows correspond to positive (one-step) transition probabilities.



(a) For every and , the sequence converges, as , to a limiting value , which does not depend on .


Select an option
unanswered
(b) Statement (a) is true, and for every state .


Select an option
unanswered
Consider the Markov chain represented below. The circles represent distinct states, while the arrows correspond to positive (one-step) transition probabilities.



(a) For every and , the sequence converges, as , to a limiting value , which does not depend on .


Select an option
unanswered
(b) Statement (a) is true, and for every state .


Select an option
unanswered

Answer 1

Unfortunately, without the visual representation of the Markov chain, it is not possible to provide an accurate answer to the statements. Please provide the visual representation of the Markov chain for further assistance.