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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, and Wq = Lq>X, to answer
Single Channel Two Channels
P 0 .33 .5L s 2 cars .75 carW s 60 minutes 22.5 minutesL q 1.33 cars .083 carW q 40 minutes 2.5 minutes
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?
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