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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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Customers can be served by any of three servers, where the service times of server i are exponentially distributed with rate μi, i=1,2,3. Whenever a server becomes free, the customer who has been waiting the longest begins service with that server.(a) If you arrive to find all three servers busy and no one waiting, find the expected time until you depart the system.(b) If you arrive to find all three servers busy and one person waiting, find the expected time until you depart the system.
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