Self-service counter or with an agent

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Flying Lukas needs to check in at Columbia Airport to take his flight to New York. He can choose either to check in with a self-service counter or with an agent.

During busy periods, a new passenger walks to a self-service counter every minute (with a standard deviation of 1 minute). The passengers who want to check in with an agent walk in every 5 minutes (with a standard deviation of 5 minutes). There are 5 self-service counters installed, while there are two agents. A typical check-in process takes 4 minutes (with a standard deviation of 4 minutes), regardless of whether an agent or a self-service counter.

If Flying Lukas walks to a self-service counter to check in during a busy period, how long must he wait (on average) in line before he can use the machine? (Only include the waiting time, not any service time

Reference no: EM13899803

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