(Steps Shown) Randy works at an ice cream counter of a food court. Customers arrive at a mean rate of 6 per hour. The mean service rate is 9.5 per hour.
Question: Randy works at an ice cream counter of a food court. Customers arrive at a mean rate of 6 per hour. The mean service rate is 9.5 per hour. Assume it is a single-server waiting line model.
- Determine the mean arrival rate and the mean service rate.
- Determine the probability that a customer will have an empty queue.
- Determine the probability that 3 customers are in the queuing system.
- Determine the average number of customers in the queue and the average number of customers in the system.
- Determine the average waiting time in the queue and the average total time in the system for a customer.
- Find the utilization factor of the server.
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Properties of the Standard Normal Distribution - MathCracker.com