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Math Help - The number e question?

  1. #1
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    The number e question?

    Customer Service

    The service time distribution describes the probability P that the service time of the customer will be no more than t hours. If m is the mean number of customers serviced in an hours then P=1-e^-mt

    A. Suppose a computer technical support representative can answer calls from 6 customers in 1 hour. What is the probability that a customer will be on hold less than 30 minutes?

    This is what I did P=1-e^(-6)(30) Would this be correct?


    b.A credit card customer service department average 34 calls per month. Determine that amount of time after which it is 50 percent likely that a customer has been served?

    I am unsure of how to star part b

    Any assistance would be very beneficent.
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  2. #2
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    Quote Originally Posted by homeylova223 View Post
    Customer Service

    The service time distribution describes the probability P that the service time of the customer will be no more than t hours. If m is the mean number of customers serviced in an hours then P=1-e^-mt

    A. Suppose a computer technical support representative can answer calls from 6 customers in 1 hour. What is the probability that a customer will be on hold less than 30 minutes?

    This is what I did P=1-e^(-6)(30) Would this be correct?


    b.A credit card customer service department average 34 calls per month. Determine that amount of time after which it is 50 percent likely that a customer has been served?

    I am unsure of how to star part b

    Any assistance would be very beneficent.
    You need to be careful with your units. In part a t (time) should be input in hours. 30min= one half hour!

    For number 2 set P=.50 fifty percent and solve for t.
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