Textbook ExpertVerified Tutor
20 Nov 2021
Given information
Use the following information to answer the next four exercises:
Step-by-step explanation
Step 1.
It is given that
, therefore
Mean, 
Standard Deviation, 
The following formula is used:
such that 
and this is known as standard normal variate.
Let the 
percentile be denoted by 
It is that value of 
for which
This means that 
is a value of that divides the distribution into two parts such that 
of the values are less than and remaining 
values are less than .
The probability is calculated as follows:
From the normal distribution tables, we get
Replacing with and 
with 
in the equation 
, we get
Therefore, the percentile of the distribution is 
, which means that the first of the values of 
are smaller than 
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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 16
- 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 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57a
- Problem 57b
- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b