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i. } A major traffic problem in Baguio City can be seen in the intersection of Abanao and Mahartika. Let us assume that the probability
i. } A major traffic problem in Baguio City can be seen in the intersection of Abanao and Mahartika. Let us assume that the probability of no trafc delay in one period, given no trafc delay in the preceding period, is 0.85 and that the probability of nding a trafc delay in one period. given a delay in the preceding period, is 0.7.5. Trafc is classified as having either a delay or a no-delay state, and the period considered is 30 minutes. 0. Draw the transition diagram in 2 periods. b. Assume that you are a motorist entering the traffic system and receive a radio report of a trafc delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods c. What is the probability that in the long run the traffic will not be in the delay state? 2. .I Consider the three competing grocery stores in town, T'San Grocery, 654 urocery and Sunlight Grocery. Consider the transition probabilities below: __EII_' a. Compute the steady-state probabilities for this three-state Markov process. b. What market share will each store obtain
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