A well functioning car is important for drivers generally. It is even more important when taking long trips. Suppose that the number of kilometres that a specific type of car can run before the battery wears out follows an exponential distribution with mean of 150,000 kilometres. Currently, your car has 140,000 km on the odometer and your battery has never had a problem. Suppose that you are about to take a vacation and back that requires you drive 5,000 kilometres (round trip).

a. For a new car, what is the probability that a randomly selected car can drive 140,000 without wearing out?