Tourists arrive at the lobby of Rosewood Hotel at a rate of 32 per hour following a Poisson distribution, and wait at the lobby in a single queue for check in. The hotel invests an Automatic Check-in Machine that it takes a constant rate of 1.6 minutes per person to complete the check-in procedure. ( a) What is the probability that 25 tourists arrive at the lobby in any 1-hour period? ( b ) What is the average time a tourist spends in the lobby? (c) What is the average number of tourists present in the lobby? (d) What is the average number of tourists waiting in the queue for the machine?
Tourists arrive at the lobby of Rosewood Hotel at a rate of 32 per hour following a Poisson distribution, and wait at the lobby in a single queue for check in. The hotel invests an Automatic Check-in Machine that it takes a constant rate of 1.6 minutes per person to complete the check-in procedure. ( a) What is the probability that 25 tourists arrive at the lobby in any 1-hour period? ( b ) What is the average time a tourist spends in the lobby? (c) What is the average number of tourists present in the lobby? (d) What is the average number of tourists waiting in the queue for the machine?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:Tourists arrive at the lobby of Rosewood Hotel at a rate of 32 per hour following a
Poisson distribution, and wait at the lobby in a single queue for check in. The hotel
invests an Automatic Check-in Machine that it takes a constant rate of 1.6 minutes per
person to complete the check-in procedure.
( a) What is the probability that 25 tourists arrive at the lobby in any 1-hour period?
( b ) What is the average time a tourist spends in the lobby?
(c) What is the average number of tourists present in the lobby?
(d) What is the average number of tourists waiting in the queue for the machine?
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