Suppose that a Markov chain has transition probability matrix 1 2 1(1/2 1/2 P = 2 (1/4 3/4 (a) What is the long-run proportion of time that the chain is in state i, i = 1, 2 ? 5. What should r2 be if it is desired to have the long-run average (b) Suppose that ri reward per unit time equal to 9?

Suppose that a Markov chain has transition probability matrix 1 2 1(1/2 1/2 P = 2 (1/4 3/4 (a) What is the long-run proportion of time that the chain is in state i, i = 1, 2 ? 5. What should r2 be if it is desired to have the long-run average (b) Suppose that ri reward per unit time equal to 9?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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Question

Suppose that a Markov chain has transition probability matrix
1
2
1
P
(1/2 1/2
2 1/4 3/4
(a) What is the long-run proportion of time that the chain is in state i, i = 1,2 ?
5. What should r2 be if it is desired to have the long-run average
(b) Suppose that ri
reward per unit time equal to 9?

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