### Exponential probability distribution

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Assume that for a gas and car wash station one car can be serviced at a time.  The arrivals follow a Poisson probability distribution, with an arrival rate of 1 car every 12 minutes and the service times follow an exponential probability distribution, with a service rate of 10 cars per hour.

1. What is the probability that the station will be idle?
2. What is the average number of cars that will be waiting for service?
3. What is the average time a car will be waiting for service?
4. What is the average time a car will be at the gas and wash station?

Reference theQueue Template.  Submit the 'Queue Template' spreadsheet used.

Assume that for a gas and car wash station one car can be serviced at a time.  The arrivals follow a Poisson probability distribution, with an arrival rate of 1 car every 12 minutes and the service times follow an exponential probability distribution, with a service rate of 10 cars per hour.

1. What is the probability that the station will be idle?
2. What is the average number of cars that will be waiting for service?
3. What is the average time a car will be waiting for service?
4. What is the average time a car will be at the gas and wash station?

Reference theQueue Template.  Submit the 'Queue Template' spreadsheet used.

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