The daughter of the owner of a local hamburger restaurant is preparing to open a new? fast-food restaurant called Hasty Burgers. Based on the arrival rates at her? father's outlets, she expects customers to arrive at the? drive-up window according to a Poison? distribution, with a mean of 25 customers per hour. The service rate is? flexible; however, the service times are expected to follow an exponential distribution. The? drive-in window is a? single-server operation.
What service rate is needed to keep the average number of customers in the service system? (waiting line and being? served) to five?
For the service rate in part? (a), what is the probability that more than five customers are in line and being? served?
For the service rate in part? (a), what is the average waiting time in line for each? customer?