What is average costumer waits time in line, Operation Management

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A newly opened car wash station has a car wash machine. The machine washes each car in a constant rate of 5 minutes per car. It has been estimated that costumers will arrive according to a Poisson distribution at an average of 8 per hour. The owner would like to know-

1) Expected average time in minutes a costumer waits in line

2) Average number of cars in the station (both waiting in line and being washed).


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