Question: Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 12 minutes to be

Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.

1.

  1. What percentage of time is Judy idle (1 - utilization)?

    80%

    70%

    30%

    20%

  2. How long is the (waiting) line, on average (Lq)?

    2.8 students

    1 student

    4 students

    3.2 students

  3. How much time, on average, does a student spend waiting in line (Wq)?

    48 minutes

    60 minutes

    32 minutes

    56 minutes

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