Question: Solve the following problem. Use the provided Excel template for your calculations. People call a suburban hospitals health hotline at the rate of 18 phone

Solve the following problem. Use the provided Excel template for your calculations.

Solve the following problem. Use the provided Excel template for your calculations.

People call a suburban hospitals health hotline at the rate of 18 phone calls per hour (arrivals follow Poisson distribution) on Monday mornings. Providing general information or channeling to other resources takes an average of 3 minutes per call (service time follows negative exponential distribution). There is one nurse agent on duty on Mondays. Determine each of the following:

a) The arrival and service rates. b) Calculate the average probability of the system utilization c) What are the average numbers of patients in the waiting line (Lq) and in the system (L)? d) What are the average times that patients will spend in the waiting line (Wq) and in the system (W)?

Single Channel, Poisson Arrival, and Exponential Service Time (M/M/1)

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