Answer all parts of question 3 The State Government have built a new express transport system to connect the CBD to thetown of Mount Barker. A survey of those who currently use the old bus system suggests thefollowing transition table:This New Servicejourney Old serviceThe transition matrix for passengers commuting to the CBD is:[0.90 0.1011030Next journeyNewService90%30%T=(b) Find the steady state matrix.Prior to its introduction, the new express service had no share of the daily CBD commuters and hence itsshare matrix was S = [0 1].(a) Calculate ST and interpret the result.OldService10%70%[1](c) The government aim to achieve a target of 70% commuters using the new Express service for itto be a long-term viability. Given the results of the survey, do you think their aim is achievable?Explain.

The given transition matrix is T=0.90.10.30.7 The share matrix is S=01. The steady state vector of…

The State Government have built a new express transport system to connect the CBD to the town of Mount Barker. A survey of those who currently use the old bus system suggests the following transition table: This New Service journey Old service The transition matrix for passengers commuting to the CBD is: Next journey New Service 90% 30% (b) Find the steady state matrix. T= [0.⁹0 0.10]. L0.30 0.70l Old Service 10% 70% Prior to its introduction, the new express service had no share of the daily CBD commuters and hence its share matrix was S = [0 1]. (a) Calculate ST and interpret the result. (c) The government aim to achieve a target of 70% commuters using the new Express service for it to be a long-term viability. Given the results of the survey, do you think their aim is achievable? Explain. [1]

The State Government have built a new express transport system to connect the CBD to the town of Mount Barker. A survey of those who currently use the old bus system suggests the following transition table: This New Service journey Old service The transition matrix for passengers commuting to the CBD is: Next journey New Service 90% 30% (b) Find the steady state matrix. T= [0.⁹0 0.10]. L0.30 0.70l Old Service 10% 70% Prior to its introduction, the new express service had no share of the daily CBD commuters and hence its share matrix was S = [0 1]. (a) Calculate ST and interpret the result. (c) The government aim to achieve a target of 70% commuters using the new Express service for it to be a long-term viability. Given the results of the survey, do you think their aim is achievable? Explain. [1]

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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