Classify the following recurrent Markov chains as periodic or aperiodic. b) 5 5 4 4 3 2 3 2 d) 5 5) 1 4 4 3 2 3 2 5) 4 3
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- Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.Find the recurrent class that is/are periodic or aperiodic given the following Markov chain:Given the following Markov chain and the given recurrent classes {1,2}, {3,4} and {5,6}. Determine whether each recurrent class is periodic or aperiodic.
- A state vector XX for a three-state Markov chain is such that the system is as likely to be in state 3 as in state 1 and is five times as likely to be in state 2 as in 3. Find the state vector XX.Fifty-four players participated in the 1980 World Series of Poker. Each player began with $10,000. Play continued until one player had won everybody else’s money. If the World Series of Poker were to be modeled as a Markov chain, how many absorbing states would the chain have?A state vector XX for a three-state Markov chain is such that the system is as likely to be in state 3 as in state 1 and is four times as likely to be in state 2 as in 3. Find the state vector XX.
- A state vector XX for a three-state Markov chain is such that the system is as likely to be in state 3 as in state 1 and is three times as likely to be in state 2 as in 3. Find the state vector XX.Determine the classes of the Markov chain and whether they are recurrent.Do the following Markov chains converge to equilibrium?
- Fifty-four players (including Gabe Kaplan and JamesGarner) participated in the 1980 World Series of Poker.Each player began with $10,000. Play continued until oneplayer had won everybody else’s money. If the World Seriesof Poker were to be modeled as a Markov chain, how manyabsorbing states would the chain have?Assuming that the climate in the city of Metepec behaves according to a Markov chain, consider the following data. The probability of rain on any following day is 70% if it rained the day before, and 20% if it did not rain the day before; Likewise, the probability that the next day will be dry is 80% if the day before was dry, and 30% if it rained the day before. From this information: C. Find the probability that Friday is a dry day, given that it rained today, Tuesday. D. Suppose you want to calculate the probability that it will rain in exactly six months, describe two different strategies you could use to perform this calculation. Would it really matter to consider what the weather was today?Show full answers and steps to this exercise using Markov Chain Theorem to solve
