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For the following data find the Queue Statistics(Time in minutes): IAT denotes the inter-arrival time and ST denotes the Service Time. Assume the first customer arrives at Time t=0.
IAT - 8 6 1 8 3 8 7 2 3
ST 4 1 4 3 2 4 5 4 5 3
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  1. Average waiting time for a customer = 9/10 =0.9

  2. Probability that the customer has to wait = 3/10 = 0.3

  3. Probability of idle server = 18/53 = 0.34

  4. Average service time = 35/10 = 3.5

  5. Average time between arrival = 46/9 = 5.11

  6. Average waiting time for customer who wait = 9/3 = 3

  7. Average time customer spent in the system = 44/10 = 4.4

  8. Max Queue length = 1

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