The Burger Dome waiting line model studies the waiting time of customers at its fast-food restaurant. Burger Dome's single-server waiting line system has an arrival rate of 0.75 customers per minute and a service rate of 1 customer per minute.

1. Adapt the Black Sheep Scarves spreadsheet shown below to simulate the operation of this waiting line. Make sure to use the random values for both interarrival and service times generated in theworksheet_12-23.Assuming that customer arrivals follow a Poisson probability distribution, the interarrival times can be simulated with the cell formula-(1/?)*LN(RAND()),where?= 0.75.Assuming that the service time follows an exponential probability distribution, the service times can be simulated with the cell formula-*LN(RAND()),where= 1.Run the Burger Dome simulation for 1000 customers. Discard the first 100 customers and collect data over the next 900 customers. The analytical model indicates an average waiting time of 3 minutes per customer. What average waiting time does your simulation model show? Round your answer to 3 decimal places. (See attachment for the picture and the numbers) ??minutes
2. Oneadvantageofusingsimulationisthatasimulationmodelcanbealteredeasilytoreflectotherassumptionsabouttheprobabilisticinputs.Assumethattheservicetimeismoreaccuratelydescribedbyanormalprobabilitydistributionwithameanof1minuteandastandarddeviationof0.2minutes.Thisdistributionhaslessservicetimevariabilitythantheexponentialprobabilitydistributionusedinpart(a).Whatistheimpactofthischangeontheaveragewaitingtime?Roundyouranswerto3decimalplaces.
3. ??minutes

Random Values for Interarrival Time 0.6216799722 0.054688108 0.0149120239 0.2989803948 0.1038660089 0.8634759632 0.8084129327 0.8615835162 0.5293685048 0.1824885527 0.347159655 0.208496257 0.726980234 0.6958285495 0.4419723689 0.2944018975 0.3876864384 0.4081265966 0.6418857519 0.9085709906 0.4224761842 0.8140555227 0.1000755748 0.190518882 0.2933591158 0.1296904863 0.132227969 0.3600538779 0.4048529715 0.5095254157 0.6556442566 0.1009535067 0.851455952 0.0238126032 0.6737738749 0.5382422769 0.4825355141 0.8263589467 0.7611067024 0.6887691305 0.3382660592 0.1335499603 0.7381211863 0.4405928315 0.8911286023 0.7342371703 Random Values for Service Time 0.9540317906 0.9790235685 0.8166642599 0.1035427171 0.27335628 0.1200640709 0.8454057029 0.2804967841 0.8515653607 0.4150147178 0.244377389 0.9544130635 0.9948471394 0.1753638014 0.0058467289 0.4282632125 0.4634867086 0.0121819475 0.9475941641 0.8480702343 0.827177062 0.0968674325 0.1744185938 0.8535575129 0.0298627957 0.9082282627 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