What is the probability that 0, 1, 2, and 3 access lines will be in use? Round your answers to 4 decimal places. j Pj 0   1   2   3   What is the probability that an agent will be denied access to the system? Round your answers to 4 decimal places. fill in the blank 5 What is the average number of access lines in use? Round your answers to 4 decimal places. L = fill in the blank 6

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 30 calls per hour. The service rate per line is 8 calls per hour.

 

  1. What is the probability that 0, 1, 2, and 3 access lines will be in use? Round your answers to 4 decimal places.

    j Pj
    0  
    1  
    2  
    3  


  2. What is the probability that an agent will be denied access to the system? Round your answers to 4 decimal places.

    fill in the blank 5

  3. What is the average number of access lines in use? Round your answers to 4 decimal places.

    L = fill in the blank 6

  4. In planning for the future, management wants to be able to handle λ = 38 calls per hour; in addition, the probability that an agent will be denied access to the system should be no greater than the value computed in part
  5. (b). How many access lines should this system have?

    fill in the blank 7 lines will be necessary.
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