Question: During the day, the traffic on North Monroe Street in Quincy is fairly steady, but the traffic conditions can vary considerably from one hour to the next due to slow drivers and traffic accidents. As one driver said, "The traffic conditions on Monroe can be either fair, tolerable, or miserable." If the traffic conditions are fair in one hour, there is a 20% chance that they will be tolerable in the next hour and a 10% chance that they will be miserable. If the traffic conditions are tolerable, there is a 20% chance that they will be fair in the next hour and a 5% chance that they will be miserable. If addition, if the traffic conditions are miserable, there is a 60% chance that they will remain that way and a 30% chance that they will be fair in the next hour.

(a) If the traffic conditions are miserable at this time, what is the probability that they will be fair in two hours? What is the probability that they will be tolerable in two hours? (10 points)

(b) In the long run, what percent of the time will traffic conditions be fair, tolerable, and miserable on Monroe Street? (10 points)