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The entries in this vector indicate the proportion of time the traffic officer spends at each intersection over the long term. Thus, if
the objective is for her to spend the same proportion of time at each intersection, then the strategy of random movement with equal
probabilities from one intersection to another is not a good one. (See Exercise 5.)
Exercise Set 11.6
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Consider the transition matrix
1.
(a) , 2, 3, 4, 5, if .
Calculate for
(b) State why P is regular and find its steady-state vector.
Consider the transition matrix
2.
(a) Calculate , , and to three decimal places if
(b) State why P is regular and find its steady-state vector.
