The pharmacist at Arnold Palmer Hospital, Saad Alwan, receives 12 requests for prescriptions each hour, Poisson distributed. It takes him a mean time of 4 minutes to fill each, following a negative exponential distribution. Use the waiting line table, Table D.5 and Wq = Lq>X, to answer these questions.
a) What is the average number of prescriptions in the queue?
b) How long will the average prescription spend in the queue?
c) Alwan decides to hire a second pharmacist, Ajay Aggerwal, whom he went to school with and who operates at the same speed in filling prescriptions. How will the answers to parts (a) and (b) change?