1 Single Server Queueing Model2 Enter the data only in the yellow cells.3&L LO56N00Probability 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)11 Average waiting time in system (waiting time plus service time)Probability arrival has to wait9GETRE 81014LambdaMu15Probability of n units in the system (queue and in service10120.1674.1675.0000.4170.5000.83330.096 Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is seven trucks per hour. Use theSingle Server Queue Excel template in MindTap to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places.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()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)1. 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?

Given that:Arrival rate = 3/hourService rate = 7/hourSince you have posted a question with multiple…

Answered: Assume trucks arriving for…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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