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.
According to the given information, the random variable denotes the time spent with each customer. This follows the exponential distribution with parameter
Therefore, .
percentile means that of the data fall below it so,
,
The cumulative density function is given by,
Taking the natural log on both sides, we get
Therefore, the percentile is
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