5. Tom Jones, the mechanic at Golden Muffler Shop, is able to install new mufflers at an average rate of 5 per hour (or about 1 every 15 minute), according to a negative exponential distribution. Customers seeking this service arrive at the shop on the average of 3 per hour, following a Poisson distribution. They are served on a first-in, first-out basis and come from a very large (almost infinite) population of possible buyers. Calculate the operating characteristics of Golden Muffler's queuing system. Make sure to calculate all the operating characteristics.

b. Develop a probability table to calculate f(x), F(x), for x = 0, 1, 2, ..., 10.