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Textbook Expert
Textbook ExpertVerified Tutor
18 Nov 2021

Given information

What is the score of  , if it is two 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, and the is two standard deviations to the right of the mean, therefore

 

Now, we use the formula for the 

 

For the standard normal distribution , therefore

   

Hence, the  of is  

 

 

 

 

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