Tom Jones, a mechanic at Golden Muffler Shop, is able to install new mufflers at an average rate of 3 per hour (exponential distribution). Customers seeking this service, arrive at the rate of 2 per hour (Poisson distribution). They are served first-in, first-out basis and come from a large (infinite population). Tom only has one service bay. a. Find the probability that there are no cars in the system.
b. Find the average number of cars in the system.
c. Find the average time spent in the system.
d. Find the probability that there are exactly two cars in the system.