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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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40b
- Problem 41
- Problem 42a
- Problem 43
- Problem 43a
- Problem 43b
- Problem 44
- Problem 45a
- Problem 45b
- Problem 45c
- Problem 46
- Problem 47
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67
- Problem 68
- Problem 69a
- Problem 69b
- Problem 70a
- Problem 70b
- Problem 71a
- Problem 71b
- Problem 72a
- Problem 72b
- Problem 73
- Problem 74a
- Problem 74b
- Problem 74c
- Problem 74d
- Problem 74e
- Problem 74f
- Problem 74g
- Problem 74h
- Problem 74i
- Problem 74j
- Problem 74k
- Problem 75a
- Problem 75b
- Problem 75c
- Problem 75d
- Problem 75e
- Problem 75f
- Problem 75g
- Problem 75h
- Problem 75h
- Problem 75i
- Problem 76a
- Problem 76b
- Problem 76c
- Problem 76d
- Problem 76e
- Problem 76g
- Problem 76i
- Problem 77a
- Problem 77b
- Problem 77c
- Problem 77d
- Problem 77e
- Problem 77f