1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting time in the queue observed for the customers who arrived at, and departed from, the queue during the time interval [100.0, 120.0]?
1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting time in the queue observed for the customers who arrived at, and departed from, the queue during the time interval [100.0, 120.0]?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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![Problem 2:
Suppose you observe the following arrivals and departures from a single-server queueing system.
Observations begin at time 100.0 (with no one in the queue) and end at 120.0.
Customer Time Customer
#
Arrives to Queue
83
84
85
86
87
88
89
90
91
100.4
101.5
105.1
106.8
108.1
113.5
117.9
118.0
119.9
Time Customer Departs
from Queue and Goes
Into Service
102.3
108.3
109.5
110.6
112.9
114.2
117.9
119.2
After 120.0
Time Customer
Departs From
Server
108.3
109.5
110.6
112.9
114.2
116.3
119.2
After 120.0
After 120.0
1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting
time in the queue observed for the customers who arrived at, and departed from, the queue
during the time interval [100.0, 120.0]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a7e19b9-35b0-4a8a-a357-f6dfd6295163%2F9905b0bb-6026-4464-83b3-232f7036b8d9%2Fv3t8f58_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2:
Suppose you observe the following arrivals and departures from a single-server queueing system.
Observations begin at time 100.0 (with no one in the queue) and end at 120.0.
Customer Time Customer
#
Arrives to Queue
83
84
85
86
87
88
89
90
91
100.4
101.5
105.1
106.8
108.1
113.5
117.9
118.0
119.9
Time Customer Departs
from Queue and Goes
Into Service
102.3
108.3
109.5
110.6
112.9
114.2
117.9
119.2
After 120.0
Time Customer
Departs From
Server
108.3
109.5
110.6
112.9
114.2
116.3
119.2
After 120.0
After 120.0
1) What is the sample mean, sample standard deviation, minimum, and maximum of the waiting
time in the queue observed for the customers who arrived at, and departed from, the queue
during the time interval [100.0, 120.0]?
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