Newell and Jeff are the two barbers in a barber shop they own and operate. They provide two chairs for customers who are waiting to begin a haircut, so the number of customers in the shop varies between 0 and 4. For n = 0, 1, 2, 3, 4, the probability Pn that exactly n customers are in the shop. A. Calculate L . How would you describe the meaning of L
Newell and Jeff are the two barbers in a barber shop they own and operate. They provide two chairs for
customers who are waiting to begin a haircut, so the number of customers in the shop varies between 0 and 4.
For n = 0, 1, 2, 3, 4, the probability Pn that exactly n customers are in the shop.
A. Calculate L . How would you describe the meaning of L to Newell and Jeff?
B. For each of the possible values of the number of customers in the queueing system, specify how
many customers are in the queue. Then calculate Lq . How would you describe the meaning of Lq to Newell
and Jeff?
C.Determine the expected number of customers being served.
D. Given that an average of 4 customers per hour arrive and stay to receive a haircut, determine W and
Wq . Describe these two quantities in terms meaningful to Newell and Jeff.
E. Given that Newell and Jeff are equally fast in giving haircuts, what is the average duration of a
haircut?
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