How long would patients expect to wait in this new system

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A dentist works from 9am to noon, offering 1 hour appointments on the hour for routine cleanings.

An operations management analyst has found that that the time it takes the dentist to complete a cleaning has an exponential distribution with an average service time of 50 min. The operations management analyst also considers the possibility of removing appointments and having walk-ins only. The analyst estimates the arrival process would be distributed normally with an average inter-arrival time of 60 minutes and a standard deviation of 20 minutes.

1. How long would patients expect to wait in this new system (minutes)?

2. How many people should the receptionist expect to find in the waiting room in the scenario described in Q1?

 

Reference no: EM132291592

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