A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 7 5 . Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0 . 9 5 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0 . 8 5 . Traffic is classified as having either a delay or a no - delay state, and the period considered is 3 0 minutes. ( a ) Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 6 0 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. ( b ) What is the probability that in the long run the traffic will not be in the delay state? ( Enter your probabilities as fractions. ) No Traffic Delay , 1 = Traffic Delay , 2