4 Lizzy eats out every Saturday and each week she chooses between threerestaurants: a Thai restaurant (T), an Indian restaurant (I) and aChinese restaurant (C). Each Saturday, her choice of restaurantdepends on which restaurant she chose the previous Saturday. Thepattern of Lizzy's restaurant choices can be modelled by a Markovchain with the following transition matrix.TP = Iс121/02/11333(a) Last Saturday, Lizzy ate at the Chinese restaurant. What is theprobability that she will eat at the Thai restaurant next Saturdayand the Indian restaurant the following Saturday?(b) What is the probability that Lizzy will eat at the Chineserestaurant this coming Saturday, given that she ate at the Thairestaurant the Saturday before last?(c) Suppose that this Markov chain has a limiting distribution. Findthis limiting distribution without using an iterative method. Inthe long run what proportion of Saturdays will Lizzy choose theThai restaurant?

Given that Lizzy eats out every Saturday and each week she chooses between three restaurants: a Thai…

Answered: Lizzy eats out every Saturday and each…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.

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Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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