Question Three

Dell Eatery employs one worker whose job it is to load apple pies on outgoing company cars. Cars arrive at the loading gate at an average of 48 per day, or 6 per hour, according to a Poisson distribution.The worker loads them at a rate of 8 per hour, following approximately the exponential distribution in service times.

a. Determine the operating characteristics of this loading gate problem.

b. What is the probability that there will be more than six cars either being loaded or waiting?