A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 25. Let us assume that the probability of no trafic delay in one period, given no trafic delay in the preceding period, is 0.85 and that the probability of finding a trafic delay in one period, given a delay in the preceding period 0.65. Trafie cassified as having either a delay or a no delay state, and the period considered is 30 minutes (a) Assume that you are a motorist entering the traffic system and receive a radio report of a trafic day. What is the probability that for the next 60 minutes (two time periods) the system wil 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 probably that in the long run the tramic will not be in the way state? No Trame Delay Traffic Delay (c) important amumption of the Markov process model presented in this chapter as been the constanter stationary transition probabilities as the system operates in the trees this umotion in the context of this trainie problem Safe to assume that the transition probabilities will be constant for the traffic problem. The transition rities of moving between states of name Dely and No Delay could change with the time of day