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 cumulative density function of the exponential distribution is given by,
,
where is decay parameter.
According to the given information, the random variable denotes the time spent with each customer. This follows the exponential distribution with parameter
,
For substitute for and for in the cumulative density function.
From equation , substitute for , we get
Therefore, the value of is
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