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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