Every morning Bob used one of the following three CUMTD buses to get to work: 9 Brown 45% of the time, 14 Navy 36% of the time, or 1 Yellow the other 19% of the time. By riding these three buses for years, it was believed that he is late to work with 14% chance if he rides a 9 Brown, 21% chance if he rides a 14 Navy, and 65% chance if instead he takes a 1 Yellow. a) Find the probability that Bob is late to work. b) Suppose Bob is on time to work. Find the probability that he took the 14 Navy in that morning