A road transport company has one reservation clerk on duty at a time. He handies information of bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can, on an average, serve a customer within 5 minutes. The company estimates that the arrival rate will be Poisson distributed whilst the service time is exponentially distributed. Use the information above to answer question 70 through to 75 70. What is the average number of customers waiting in line to be served? А. 1 В. 1.04 . С. 1.33 D. 2.666 71. What is the average number of customers in the system? А. 2 В. 3 С. 4 D. 5 72. What is the average time a customer has to wait before being served? A. 4 minutes B. 5 minutes C. 8 minutes D. 10 minutes 73. What is the average time a customer spends in the system? A. 0.2 hr В. 0.25 hr C. 12 hrs D. 15 hrs Page 11 of 16 Peu lell mdem'?/2-19/20 Scanned with CamScanner 74. What is the probability of not finding a customer in the system? A. 0 В. 0.33 С. 0.67 D. 0.88

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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A road transport company has one reservation clerk on duty at a time. He handles information of
bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can,
on an average, serve a customer within 5 minutes. The company estimates that the arrival rate will
be Poisson distributed whilst the service time is exponentially distributed.
Use the information above to answer question 70 through to 75
70. What is the average number of customers waiting in line to be served?
А. 1
В. 1.04
. С. 1.33
D. 2.666
71. What is the average number of customers in the system?
А. 2
В. 3
С. 4
D. 5
72. What is the average time a customer has to wait before being served?
A. 4 minutes
B. 5 minutes
C. 8 minutes
D. 10 minutes
73. What is the average time a customer spends in the system?
A. 0.2 hr
B. 0.25 hr
С. 12 hrs
D. 15 hrs
Page 11 of 16
Peu l'ell/ mideam!?/2-19/20
Scanned with CamScanner
74. What is the probability of not finding a customer in the system?
A. 0
B. 0.33
C. 0.67
D. 0.88
Transcribed Image Text:A road transport company has one reservation clerk on duty at a time. He handles information of bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can, on an average, serve a customer within 5 minutes. The company estimates that the arrival rate will be Poisson distributed whilst the service time is exponentially distributed. Use the information above to answer question 70 through to 75 70. What is the average number of customers waiting in line to be served? А. 1 В. 1.04 . С. 1.33 D. 2.666 71. What is the average number of customers in the system? А. 2 В. 3 С. 4 D. 5 72. What is the average time a customer has to wait before being served? A. 4 minutes B. 5 minutes C. 8 minutes D. 10 minutes 73. What is the average time a customer spends in the system? A. 0.2 hr B. 0.25 hr С. 12 hrs D. 15 hrs Page 11 of 16 Peu l'ell/ mideam!?/2-19/20 Scanned with CamScanner 74. What is the probability of not finding a customer in the system? A. 0 B. 0.33 C. 0.67 D. 0.88
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