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The reference desk of a university library receives requests for assistance. Assume that a Poisson probability...

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General Management

The reference desk of a university library receives requests forassistance. Assume that a Poisson probability distribution with anarrival rate of 8 requests per hour can be used to describe thearrival pattern and that service times follow an exponentialprobability distribution with a service rate of 11 requests perhour.

  1. What is the probability that no requests for assistance are inthe system? If required, round your answer to four decimalplaces.

    P0 = ??
  2. What is the average number of requests that will be waiting forservice? If required, round your answer to four decimalplaces.

    Lq = ??
  3. What is the average waiting time in minutes before servicebegins? If required, round your answer to nearest wholenumber.

    Wq = ?? min
  4. What is the average time at the reference desk in minutes(waiting time plus service time)? If required, round your answer tonearest whole number.

    W = ??min
  5. What is the probability that a new arrival has to wait forservice? If required, round your answer to four decimalplaces.

    Pw = ??

Answer & Explanation Solved by verified expert
3.9 Ratings (391 Votes)
Given dataArrival rate 8 requests perhourService rate 11 requests perhourThis is a single    See Answer
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