Consider the following problem associated with synchronizing traffic lights. A particular traffic light has a cycle as follows:
Red = 1 min
Green = 1.5 min
Yellow =0.5 min
Some distance before this light-light 1-is another light-light 2. Owing to varying drivers and conditions, the travel time between the two varies from vehicle to vehicle. Data suggest that 40 percent of all cars leaving the location of light 2 at a time when light 1 is red are not delayed by light 1 when they reach it, 80 percent of all cars leaving light 2 during a green cycle of light 1 are not delayed, and 20 percent of all cars leaving during a yellow cycle are not delayed. Given that a car was delayed by light 1, what is the probability that it left light 2 while light 1 was red? Green?yellow?