How long is the line expected to be upon arrival


Problem:

You need cash and fast. You jump out of your car at a location to have one ATM, but a history of a line. Usually you can expect to wait 250 seconds from the time you arrive until leaving with the cash. Service time averages 30 seconds.

Required:

Question 1. What is the utilization of the server ______%?

Question 2. What is the expected time between people arriving to this system_________seconds?

Question 3. How long is the line expected to be upon arrival? _____________people.

Question 4. What is the service rate of the server? _____________ people/second.

Explain the solution in detail and show all work.

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