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18 Nov 2021
Given information
What is the score of , if it is standard deviations to the right of the mean?
Step-by-step explanation
Step 1.
For the random variable defined as the is given by,
The tells the position of with respect to mean .
When is positive, is above or right of the mean, and when is negative, is below or left of the mean.
Given that, the score of , if it is standard deviations to the right of the mean, trherefore
,
Using the formula for the score,
For the standard normal distribution , therefore
Hence, the score of is
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