LambdaMuProbability system is emptyAverage number waiting for service in the queueAverage number in system (queue and in service)Average time waiting for service (time in queue)vaiting time in system (waiting time plus service time)Probability arrival has to waitn=bability of n units in the system (queue and in service)10120.1674.1675.0000.4170.5000.83330.096 Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is five trucks per hour, and themean service rate is seven trucks per hour. Use the Single Server Queue Excel template in MindTap to answer the following questions. Do not roundintermediate calculations. Round your answers to three decimal places.a. What is the probability that the truck dock will be idle?b. What is the average number of trucks in the queue?truck(s)c. What is the average number of trucks in the system?truck(s)d. What is the average time a truck spends in the queue waiting for service?hour(s)e. What is the average time a truck spends in the system?hour(s)f. What is the probability that an arriving truck will have to wait?g. What is the probability that more than two trucks are waiting for service?

Answered: Assume trucks arriving for…

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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At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts as the Formula 1 drivers battled for maximum points in the series. The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm, when the gates closed in readiness for the race. The fans were observed to arrive at an average of 2,048 each hour, and were being served at a rate of 533 every fourteen minutes. Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this grace. Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month. required; iv). On average, how long does a fan spend in the circuit ticketing system? v). What is the probability of having more than 5 but less than 12 fans in the circuit ticketing system? Determine the efficiency of the Silverstone circuit…

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