consider a two server queueing system where all service times are independent and identically di

(a) The customer's waiting time in the queue is the time until the first of the two servers beco

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Consider a two-server queuing system where all service times are independent and identically distributed according to an exponential distribution with a mean of 10 minutes. Service is provided on a first-come-first-served basis. When a particular customer arrives, he finds that both servers are busy and no one is waiting in the queue. (a) (10 points) What is the probability distribution of this customer's waiting time in the queue? (b) (5 points) Determine the expected value of this customer's system time. (c) (10 points) Suppose that this customer is still waiting in the queue 5 minutes after his arrival. Given this information, determine the expected value of this customer's system time.

          Consider a two-server queuing system where all service times are independent and identically distributed according to an exponential distribution with a mean of 10 minutes. Service is provided on a first-come-first-served basis. When a particular customer arrives, he finds that both servers are busy and no one is waiting in the queue.

(a) (10 points) What is the probability distribution of this customer's waiting time in the queue?
(b) (5 points) Determine the expected value of this customer's system time.
(c) (10 points) Suppose that this customer is still waiting in the queue 5 minutes after his arrival. Given this information, determine the expected value of this customer's system time.

Added by Brandon M.

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