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 ### Utilization and Probability Analysis#### c. Utilization of the Inspector- **Question:** What is the utilization of the inspector? *(Round your answer to 1 decimal place.)*- **Answer:** The utilization of the inspector is **83.3%**.- **Feedback:** Answer is complete and correct.#### d. Probability of Vehicles Ahead- **Question:** What is the probability that when you arrive, there will be three or more vehicles ahead of you? *(Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)*- **Answer:** The probability is **56.8%**.- **Feedback:** Answer is complete but not entirely correct.The data is presented in a tabular format for clarity and ease of understanding, highlighting the importance of correctly rounding numerical answers to the specified decimal places in statistical computations. At a border inspection station, vehicles arrive at the rate of 10 per hour following a Poisson distribution. There is only one lane and one inspector, who can inspect vehicles at a rate of 12 per hour, following an exponentially distributed process.**a. What is the average length of the waiting line? (Round your answer to 2 decimal places.)**- The average length of the waiting line is displayed as 4.17 customers.- A confirmation note states: "Answer is complete and correct."**b. What is the average time that a vehicle must wait to get through the system?**- The average time a vehicle must wait is displayed as 30 minutes.- A confirmation note states: "Answer is complete and correct."Each part of the problem is supported by a checkmark icon indicating correctness next to the answers provided.

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.

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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