Question: Example: Customers arrive one at a time at an ATM at the rate of six per hour. The arrival process follows Poisson process. Customers take

Example: Customers arrive one at a time at an ATM at the rate of six per hour. The arrival process follows Poisson process. Customers take an average of 4 minutes to complete their transactions. However, ATM tasks are highly variable ranging from simple withdrawals to complex deposits; thus service times can be modeled as an exponential distribution. In the steady state, calculate a. The expected number of customers in queueing system b. The expected queue length The expected waiting time in system (includes service time) d. The expected waiting time in queue (excludes service time) The probability that there are more than 5 people in the system. f. The probability that the waiting time (includes service time) in the system exceeds 10 minutes. C. e. 3

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