It take an average of five minutes exponentially

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Reference no: EM13388015

Bank of Ohio in Zanesville has a single drive-in teller window. Customers arrive at the window about every 10 minutes on average with an exponential distribution or the hourly arrival rate is λ = 6. It take an average of five minutes (exponentially distributed) to complete each customer order or the hourly service rate is μ = 12. You are asked following tasks:

Determine:

• Expected number of customers in the system, including those being served.

• Expected number of customers in the queue, excluding those being served.

• Expected waiting time in the system, including service time, for an individual customer.

• Expected waiting time in the queue, excluding service time, for an individual customer.

• Utilization factor

• The probability that waiting time in the system exceeds 0.25 hours (15 minutes)

• The probability that waiting time in the queue exceeds 0.25 hours (15 minutes)

• The probability that the system has 5 customers in the system

Reference no: EM13388015

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