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A car wash has only a single lane, and the next car cannot go into the wash until the car in front is completely finished.

A car wash has only a single lane, and the next car cannot go into the wash until the car in front is completely finished. Cars can arrive according to a poisson process with mean rate of 9 cars per hour. Because of service requests, service times vary substantially. A careful study shows that the service time is normally distributed with a mean of 6 minutes and a standard deviation of 2 minutes.

What is the average number of cars waiting to be washed ( not including the car in service)?

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