Question: A technology help center has three technicians at a long desk and uses stanchions and ropes to get arriving clients wait in a single line

A technology help center has three technicians at a long desk and uses stanchions and ropes to get arriving clients wait in a single line for a technician to become available (if they are all busy helping other clients). Clients arrive at a rate of 50 per hour (assume a Poisson distribution for arrivals), and on average require 2.7 minutes with a technician (assume that service times are exponentially distributed). If a person is on their way to the help center, what is the amount of time (in minutes) that they should expect to have to wait before being helped by a technician.

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