Mathematics, 03.12.2019 21:31 dumbdumbkylee

Suppose a queueing system has two servers, exponential interarrival times with mean of 1 hour, and exponential service times with mean of 1 hour per customer. suppose a customer has just arrived at 12.00 noon.
)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 number of arrivals between 1.00 pm and 2.00 pm will be zero (one, more than one)? 4)suppose that both servers are serving customers at 1.00 pm. what is the probability that neither customer will have service completed before 1.01 pm (before 1.10 pm, before 2 pm)?

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