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Problem 16-05 (Algorithmic) A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross...

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Basic Math

Problem 16-05 (Algorithmic)

A major traffic problem in the Greater Cincinnati area involvestraffic attempting to cross the Ohio River from Cincinnati toKentucky using Interstate 75. Let us assume that the probability ofno traffic delay in one period, given no traffic delay in thepreceding period, is 0.8 and that the probability of finding atraffic delay in one period, given a delay in the preceding period,is 0.65. Traffic is classified as having either a delay or ano-delay state, and the period considered is 30 minutes.

  1. Assume that you are a motorist entering the traffic system andreceive a radio report of a traffic delay. What is the probabilitythat for the next 60 minutes (two time periods) the system will bein the delay state? Note that this result is the probability ofbeing in the delay state for two consecutive periods. If required,round your answer to three decimal places.

    =0.4225
  2. What is the probability that in the long run the traffic willnot be in the delay state? If required, round your answers to threedecimal places.

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