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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
8 Nov 2021

Given information

Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: .

Step-by-step explanation

Step 1.

The mean of the exponential distribution is given by,

, where  is the parameter.

According to the given information, the random variable  denotes the time spent with each customer. This follows the exponential distribution with parameter 

Substituting ,

  

The mean of the distribution is   

The graph of the distributions is as follows:

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