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Wednesday, February 3, 2016

Customers arrive every three minutes governed by a Poisson distribution.

 February 03, 2016     No comments   

  QUESTION 14

        1.

        Customers arrive every three minutes governed by a Poisson distribution. A single server is capable of handling 30 customers per hour and this service time is exponentially distributed. What is the likelihood that more than 4 customers are in the system?

        Answer

        less than or equal to .1

        greater than 0.1 but less than or equal to 0.15

        greater than 0.15 but less than or equal to 0.25

        greater than 0.25 but less than or equal to 0.32

        Greater than 0.32

                                                                                                                                                5 points

        QUESTION 15

        1.

        A trucking company has 5 trucks that each requires service at an average rate of once every 40 hours, according to an exponential distribution. The firm has a mechanic who needs 5 hours to complete the average job with exponential  service times. What is the probability that there will be no trucks in the system?

        Answer

        less than or equal to 0.50

        greater than 0.50 but less than or equal to 0.60

        greater than 0.60 but less than or equal to 0.70

        greater than 0.70

                                                                                                                                                5 points




        QUESTION 16

        1.


        A trucking company has 5 trucks that each requires service at an average rate of once every 40 hours, according to an  exponential distribution. The firm has a mechanic who needs 5 hours to complete the average job with exponential service times. What is the average utilization of the mechanic?

        Answer

        less than or equal to 50 percent

        greater than 50 percent but less than or equal to 60 percen

        greater than 60 percent but less than or equal to 70 percent

        greater than 70 percent

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