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Customer 4 started getting serviced 5, 4, 2, and 1 minutes ago, respectively. The servicetime of all four servers follows an exponential distribution with a mean of 1 minute. Assume the interarrival times of customers to the queuing system are exponentially distributed with rate of 2customers per minute. (a) What is the probability that the next customer takes more than 4 minutes to arrive? (b) What is the probability that it takes the first server more than 2 more minutes (i.e., more than7 minutes since Customer 1 started getting serviced) to complete Customer l's service? (c) What is the probability that Customer 4 completes service before Customer 1? Why? (d) What is the probability that Customer 4 completes service before Customers 1 and 2? Why? What is the probability that Customer 5 will be the last of the five customers (Customers 1, 2,3, 4, and 5) to complete service if first come first serve policy is used? Why?

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