The state vehicle inspection bureau provided the following information on the percentage of cars that fail an annual vehicle inspection due to having faulty lights: 15% of all cars have one faulty light, 10% have two faulty lights, and 5% have three or more faulty lights.
a. What is the probability that a randomly selected car will have no faulty lights?
b. What is the probability that a randomly selected car will have at most one faulty light?
c. What is the probability that a randomly selected car will fail an inspection due to a faulty light?