(Answered) You jump out of your car at a location known to have one

Management Studies

You jump out of your car at a location known 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 $$. Service time averages 30 seconds.

Remembering Ρ = λ/μ, L = λW, W = 1/μ-λ, L_q = ΡL, W_q=ΡW

a. What is the utilization of the server? _____%

b. What is the expected time between people arriving to this system? _____ seconds

c. How long is the line expected to be upon arrival? _____ people

d. What is the service rate of the server? _____ people/second

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