Question: PLEASE SOLVE ALL OF QUESTIONS and SOLVE IT MANUALLY USING EQUATIONS ( M/M/1 GD/inf/inf) (Lambda and Mu, Lq , Ls, Ws, Wq) Customers arrive at

PLEASE SOLVE ALL OF QUESTIONS and SOLVE IT MANUALLY USING EQUATIONS ( M/M/1 GD/inf/inf) (Lambda and Mu, Lq , Ls, Ws, Wq)

Customers arrive at a carwash according to Poisson Distribution with mean 4 per hour. Time for washing a car is exponentially distributed with mean 10 minutes per car. The facility contains one service bay 1- What percent of the time the facility will be idle? 2- How many cars will be waiting for service when a customer arrives? (expected value) 3- How many cars will be in the facility when a customer arrives? 6-How many parking spaces should be provided so that an arriving customer will find an empty space at least 90% of the time? (let s be the desired number of parking spaces)

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