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Suppose a queuing system has two servers, exponential interarrival times with a mean of 1 hour, and exponential service times with a mean of 1 hour per customer. Suppose a customer has just arrived at 12:00 noon.1) What is the probability that the next arrival will come before 1:00 pm (between 1:00 pm and 2:00 pm, after 2:00 pm)?2) Suppose no customer arrives before 1:00 pm. What is the probability that the next arrival will come between 1:00 pm and 2:00 pm?3) What is the probability that the nu
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Consider a two-server parallel queuing system where customers arrive according to a Poisson process with rate λ, and where the service times are exponential with rateμ. Moreover, suppose that arrivals finding both servers busy immediately depart without receiving any service (such a customer is said to be lost), whereas those finding at least one free server immediately enter service and then depart when their service is completed.(a) If both servers are presently busy, find the expected time un
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