What is the expected number of vehicles in the system

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Reference no: EM132237948

Assignment -

Problem 1 - At Tony and Cleo's bakery, one kind of birthday cake is offered. It takes 15 minutes to decorate this particular cake and the job is performed by one particular baker. In fact, this is all this baker does. What mean time between arrivals (exponentially distributed) can be accepted if the mean length of the queue for decorating is not to exceed five cakes?

Problem 2 - Arrivals to a self-service gasoline pump occur in a Poisson fashion at a rate of 12 per hour. Service time has a distribution which averages 4 minutes with a standard deviation of 1 1/3 minutes. What is the expected number of vehicles in the system?

Problem 3 - Patient arrive for a physical examination according to a Poisson process at the rate of one per hour. The physical examination requires three stages, each one independently and exponentially distributed with a service time of 15 minutes. A patient must go through all three stages before the next patient is admitted to the treatment facility. Determine the average number of delayed patients, L_q, for this system.

Note - Need these 3 problems solution clearly with step by step details.

Reference no: EM132237948

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