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Customers arrive at a ferry ticket office at the rate of 20 per hour on Monday mornings. This can be described as a M/M/1 model.

Customers arrive at a ferry ticket office at the rate of 20 per hour on Monday mornings. This can be described as a M/M/1 model. Selling the tickets and providing general information takes an average of 2 minutes per customer. One ticket agent is on duty on Mondays. (Noteshaper Scenario #34). (Hint: How many people can the office serve in one hour (60 minutes) if it takes 4 minutes to serve one?) a. What is the average length of the line on Monday mornings? b. On average, how long does a customer wait to buy a ticket on Monday mornings (in minutes)? c. How long does it take to successfully buy a ticket on Monday mornings (in minutes)? (This includes time waiting in line and purchasing from the agent.) d. What is the probability that an arriving customer has to wait to buy a ferry ticket on Monday morning? e. What is the probability of exactly four customers in the ferry ticket office? This includes both customers waiting in line and those being served

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