Exam 22: Markov Analysis

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A transition matrix is ________ when it moves back and forth between states.

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cyclic

The only car dealership in a community stocks cars from two manufacturers, Fret and Cessy. The following transition matrix shows the probabilities of a customer purchasing each brand of car in the next year given that he or she purchased that car in the current year. From / To Fret Cessy Fret .7 .3 Cessy .4 .6 Given that a customer purchased the brand Fret in the present year (year 1), determine the probability that a customer will purchase Cessy in year 3.

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C

Markov analysis is a ________ technique that results in ________ information.

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A Markov process has the following transition matrix: A B A 0.65 0.35 B 0.45 0.55 What are the steady state probabilities?

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An assumption of Markov analysis is that the probability of moving from a state to all other states sum to ________.

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Markov analysis does not provide a recommended decision.

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The ________ is where the system is at a point in time.

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The only car dealership in a community stocks cars from two manufacturers, Fret and Cessy. The following transition matrix shows the probabilities of a customer purchasing each brand of car in the next year given that he or she purchased that car in the current year. From / To Fret Cessy Fret .7 .3 Cessy .4 .6 Determine the steady state probabilities for Fret and Cessy.

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Markov analysis ________ a recommended decision.

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The only car dealership in a community stocks cars from two manufacturers, Fret and Cessy. The following transition matrix shows the probabilities of a customer purchasing each brand of car in the next year given that he or she purchased that car in the current year. From / To Fret Cessy Fret .7 .3 Cessy .4 .6 Determine the steady state probabilities for Fret and Cessy.

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Participants eligible for a retraining program can be in one of four states: A - not in the training program B - discharged C - in training D - employed Given the following transition matrix, determine the fundamental matrix. B C D .1 .6 .3 0 0 1.0 0 0 .2 .2 .5 .1 0 0 0 1.0

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The only car dealership in a community stocks cars from two manufacturers, Fret and Cessy. The following transition matrix shows the probabilities of a customer purchasing each brand of car in the next year given that he or she purchased that car in the current year. From / To Fret Cessy Fret .7 .3 Cessy .4 .6 Given that a customer purchased the brand Cessy in the present year (year 1), determine the probability that a customer will purchase Cessy in year 3.

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The state of the system is where the system is at a point in time.

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If a Markov process contains an absorbing state, the process will eventually terminate in the absorbing state.

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Which of the following is not an assumption or a characteristic of a Markov Process?

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An assumption of Markov analysis is that the probabilities are ________ over time.

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In Markov analysis, once the system moves into a(n) ________ state, it is trapped and cannot leave.

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A Markov assumption is that the probabilities apply to ________ system participants.

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In Markov analysis, once the system leaves a(n) ________ state, it will never return.

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A common application of Markov analysis is ________.

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