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Textbook Expert
Textbook ExpertVerified Tutor
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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