A nice psychologist is providing free consultations to each individual in her town. Each patient comes in to her office on average of every 27 minutes, and she spends an average of 19 minutes with each one of them. Assume that both patient inter-arrival times and the times that she spends with the patient are exponentially distributed. Keep in mind of the system including the psychologist and the patients come to her for help, who when necessary, waiting in line for their turn. 1. What's the throughput, and the capacity of this system? 2. Now assuming that once each patient comes in, no consultation ever finishes before receiving her help. How much time, on average, do consultation last in the system, from the moment it begins

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A nice psychologist is providing free consultations to each individual in her town. Each patient comes in to her office on average of every 27 minutes, and she spends an average of 19 minutes with each one of them. Assume that both patient inter-arrival times and the times that she spends with the patient are exponentially distributed. Keep in mind of the system including the psychologist and the patients come to her for help, who when necessary, waiting in line for their turn.

1. What's the throughput, and the capacity of this system?

2. Now assuming that once each patient comes in, no consultation ever finishes before receiving her help. How much time, on average, do consultation last in the system, from the moment it begins until finishing?

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