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Consider an M / M / 1 queueing system with capacity N = 2. Suppose that...

Consider an M / M / 1 queueing system with capacity N = 2. Suppose that customers arrive at the rate of λ per hour and are served at the rate of 8 per hour.

a. What should the arrival rate be so that an arriving potential customer has a 50% chance of joining the queue?

b. With λ chosen to satisfy the requirement of part a, what percentage of the customers who actually enter the system get served immediately?

Math   Statistics-And-Probability   
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