2 Consider the Markov chain with transition matrix (1/2 1/3 1/6 P = 3/4 0 1/4 1 (a) Show that this is a regular Markov chain. (b) The process is started in state 1; find the probability that it is in state 3 after two steps. (c) Find the limiting probability vector w.

2 Consider the Markov chain with transition matrix (1/2 1/3 1/6 P = 3/4 0 1/4 1 (a) Show that this is a regular Markov chain. (b) The process is started in state 1; find the probability that it is in state 3 after two steps. (c) Find the limiting probability vector w.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

2 Consider the Markov chain with transition matrix
(1/2 1/3 1/6
P = 3/4
0 1/4
1
(a) Show that this is a regular Markov chain.
(b) The process is started in state 1; find the probability that it is in state 3
after two steps.
(c) Find the limiting probability vector w.

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