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b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization % d. What is the probability that when you arrive there will be three or more vehicles ahead of you? Note: Round your answer to 1 decimal place. Probability % At a border inspection station, vehicles arrive at the rate of 12 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles at the rate of 18 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? Note: Round your answer to 2 decimal places. Average length customers b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization %

b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization % d. What is the probability that when you arrive there will be three or more vehicles ahead of you? Note: Round your answer to 1 decimal place. Probability % At a border inspection station, vehicles arrive at the rate of 12 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles at the rate of 18 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? Note: Round your answer to 2 decimal places. Average length customers b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization %

Practical Management Science
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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b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization % d. What is the probability that when you arrive there will be three or more vehicles ahead of you? Note: Round your answer to 1 decimal place. Probability %
Transcribed Image Text:b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization % d. What is the probability that when you arrive there will be three or more vehicles ahead of you? Note: Round your answer to 1 decimal place. Probability %
At a border inspection station, vehicles arrive at the rate of 12 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles at the rate of 18 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? Note: Round your answer to 2 decimal places. Average length customers b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization %
Transcribed Image Text:At a border inspection station, vehicles arrive at the rate of 12 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles at the rate of 18 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? Note: Round your answer to 2 decimal places. Average length customers b. What is the average total time it takes for a vehicle to get through the system? Note: Round your answer to 2 decimal places. Average time minutes c. What is the utilization of the inspector? Note: Round your answer to 1 decimal place. Utilization %
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