I need assitance with solving this problem 3. I made numerous attempts to solve. however I am still having issues. Please provide a step by step explanation so, I can use it as notes for future reference. Respectfully thank you c. What is the utilization of the inspector? (Round your answer to 1 decimal place.)UtilizationAnswer is complete and correct.83.3d. What is the probability that when you arrive there will be three or more vehicles ahead of you? (Round your intermediatecalculations to 3 decimal places and final answer to 1 decimal place.)Answer is complete but not entirely correct.Probability58.8 %He At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assumethere is only one lane and one inspector, who can inspect vehicles at the rate of 12 per hour in an exponentially distributed fashion.a. What is the average length of the waiting line? (Round your answer to 2 decimal places.)Average lengthAnswer is complete and correct.4.17 customersb. What is the average time that a vehicle must wait to get through the system?Average timeAnswer is complete and correct.30 minutes

Answered: Image /qna-images/answer/e84af7c0-c33f-4a4f-9126-aa40b0af900b.jpg

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume there is only one lane and one inspector, who can inspect vehicles at the rate of 12 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? (Round your answer to 2 decimal places.) Average length Answer is complete and correct. 4.17 customers b. What is the average time that a vehicle must wait to get through the system? Average time Answer is complete and correct. 30 minutes

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume there is only one lane and one inspector, who can inspect vehicles at the rate of 12 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? (Round your answer to 2 decimal places.) Average length Answer is complete and correct. 4.17 customers b. What is the average time that a vehicle must wait to get through the system? Average time Answer is complete and correct. 30 minutes

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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Similar questions

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At a border inspection station, vehicles arrive at the rate of 10 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 15 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? (Round your answer to 2 decimal places.) b. What is the average total time it takes for a vehicle to get through the system? (Round your answer to 2 decimal places.) c. What is the utilization of the inspector? (Round your answer to 1 decimal place.) d. What is the probability that when you arrive there will be three or more vehicles ahead of you? (Round your answer to 1 decimal place.)
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