Determine the expected number of cars at the car wash

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Question: A car wash has room for only three waiting cars and has two lanes for washing cars. Each lane can Accommodate one car at a time. Can arrive according to a Poisson process. at a mean rate of 20 per hour, but are denied entrance whenever the wash is full Washing and cleaning is done manually, and appears to follow.

An exponential distribution. Under normal conditions, each lane sent; a ear in an average of 5 min. However when two or more can arc waiting for service, the washing procedure is streamlined. reducing the average service time to 4 mm Determine (a) the expected number of cars at the car wash, and (b) the expected Length of time a car spends at the wallah if it it not denied entrance.

Reference no: EM132763675

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