he problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes. 1. Define the approach that should be used to solve the problem and identify all your inputs of the model 6

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes.
1. Define the approach that should be used to solve the problem and identify all your inputs of the model
6

2. Verify if one important assumption of the model should be questioned. Explain why.
3. Assume that you are entering the traffic with your care in that highway and you receive a radio report of no traffic delay. What is the probability that for the next period there will be a delay.
4. Assume that you are entering the traffic with your care in that highway and you receive a radio report of traffic delay. What is the probability that for the next hour there will be a delay. Use a tree diagram to answer the question.
5. What is the probability that in the long run there will be no delay?

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