Explanation The given information is the first-year students in a particular year. 85 % successfully complete their course of studies and move on to the second year, whereas 15 % drop out of the program: of the second-year students in a particular year. 92 % go on to the third year. whereas 8 % drop out of the program; of the third-year students in a particular year, 98 % go on to graduate at the end of the year, whereas 2 % drop out of the program. So, represent the first row as drop-out state, second row as the graduates, the third row as state for first year, fourth row as state for the second year and the fifth row as the third year state. Therefore, the transition matrix associated with the Markov process is [ 1 0 .15 .08 .02 0 1 0 0 .98 0 0 0 0 0 0 0 To determine b) To find: The steady-state matrix [ 1 0 .15 .08 .02 0 1 0 0 .98 0 0 0 0 0 0 0 .85 0 0 0 0 0 .92 0 ] To determine c) The probability that a beginning law student enrolled in the program will go on to graduate.

12th Edition

ISBN: 8220103649001

Author: Tan

Publisher: CENGAGE L

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Chapter 9.3, Problem 30E

To determine

a)

To Construct:

The transition matrix associated with the Martov process.

To determine

b)

To find:

The steady-state matrix [10.15.08.020100.980000000.8500000.920]

To determine

c)

The probability that a beginning law student enrolled in the program will go on to graduate.

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Chapter 9.3, Problem 29E

Chapter 9.3, Problem 31E

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Chapter 9 Solutions

EBK FINITE MATHEMATICS FOR THE MANAGERI

Ch. 9.1 - What is a finite stochastic process? What can you...Ch. 9.1 - Prob. 2CQ Ch. 9.1 - Consider a transition matrix T for a Markov chain...Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

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a) To Construct: The transition matrix associated with the Martov process.

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a) To Construct: The transition matrix associated with the Martov process.

b) To find: The steady-state matrix [10.15.08.020100.980000000.8500000.920]

c) The probability that a beginning law student enrolled in the program will go on to graduate.

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Chapter 9 Solutions

a)

To Construct:

The transition matrix associated with the Martov process.

b)

To find:

The steady-state matrix [10.15.08.020100.980000000.8500000.920]

c)

The probability that a beginning law student enrolled in the program will go on to graduate.