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Natalija [7]
3 years ago
13

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 hour, then Suppose a computer technical support representative can answer calls from 6 customers in an hour. What is the probability that a customer will be on hold less than 30 minutes?
Mathematics
2 answers:
zhuklara [117]3 years ago
6 0
95% is the answer to your question
Mariulka [41]3 years ago
4 0

Answer:

Probability that a customer will be on hold less than 30 minutes is 95%

Step-by-step explanation:

Complete question is

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 services in an hour, then P = 1 - e^{-mt}

. a. Suppose a computer technical support representative can answer calls from 6 customers in an hour. What is the probability

that a customer will be on hold less than 30 minutes?

Solution -

Given the equation of probability -

P = 1 - e^{-mt}

Where m is the average number of customers served in an hour

and t is the total time

Now, in this case m is equal to 6 as technical support representative ia bale to answer calls from 6 customers in an hour

and time t = 30 minutes = \frac{1}{2} hours

Substituting the given values in above equation, we get -

P = 1 - e^{-6 *\frac{1}{2} }\\P = 1 - e^{-3}\\P = 1 - 0.04978\\P = 0.95

Probability that a customer will be on hold less than 30 minutes is 95%

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