Question: URGENT!! Consider a shop with a single worker. On average, one customer enters this shop every 15 minutes and the inter-arrival times are exponentially distributed.

URGENT!!

Consider a shop with a single worker. On average, one customer enters this shop every 15 minutes and the inter-arrival times are exponentially distributed. The worker provides service to the customers one by one, according to a first-come-first-served principle. The service time of the worker is exponential with an average of 12 minutes.

What is the arrival rate per hour? Answer?

What is the service rate per hour? Answer?

Is this queuing system stable according to the arrival and service rates? AnswerYes No?

What is the utilization of the server? (Provide your answer as a decimal number.) Answer? If the worker costs $10 per hour while busy, what is the worker's cost per hour in dollars?

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