Reference no: EM13337859
1. Customers arrive at Paul’s Harrold’s styling Shop ata rate of 3 per hour, distributed in Poisson fashion. Paul canperform haircuts at a rate of 5 per hour, distributedexponentially.
a. Find the average number of customers waiting for haircuts.
b. Find the average number of customers in the shop.
c. Find the average time a customer waits until his or her turn.
d. Find the average time a customer spends in the shop.
e. Find the percentage of time that Paul is busy.
2. Automobiles arrive at the drive-through window at the downtownUrbana, Illinois post office at the rate of 4 every 10 minutes. Theaverage service time is 2 minutes. The Poisson distribution isappropriate for the arrival rate and service times areexponentially distributed.
a. What is theaverage time a car is in the system?
b. What is theaverage time of cars in the system?
c. What is theaverage number of cars waiting to receive service?
d. What is theaverage number a car is in the queue?
e. What is theprobability that there are no cars at the window?
f. What percentage of the time is the postal clerk busy?
g. What is theprobability that there are exactly 2 cars in the system?
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: Customers arrive at Paul’s Harrold’s styling Shop ata rate of 3 per hour, distributed in Poisson fashion. Paul canperform haircuts at a rate of 5 per hour, distributedexponentially.
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