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Campus Barber Shop has one barber. Customers arrive at a rate of 2.2 per hour, and...

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Basic Math

Campus Barber Shop has one barber. Customers arrive at a rate of2.2 per hour, and haircuts are given at a rate of 3 per hour.Assume the basic Poisson-Exponential model and answer the followingquestions.

  1. What is the probability that the barber is idle?

  2. What is the probability that one customer is getting a haircutand no one is waiting in the line?

  3. What is the probability that one customer is receiving a haircutand one customer is in the line waiting?

  4. What is the probability that one customer is receiving a haircutand two customers are waiting in the line.

  5. On the average, how many customers are in the shop?

  6. On the average, how long is the line?

  7. What is the average time in the line before service begins.

  8. If a customer arrives at 10:00 AM, when should he expect toleave the shop?


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