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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
2 Nov 2021

Given information

Use the following information to answer the next eight exercises. A distribution is given as 

Step-by-step explanation

Step 1.

The formula to calculate the theoretical standard deviation is given by,

 

Where, is the lowest value of and is the highest value of .

The notation  is for the uniform distribution, where,  is the lowest value of  and  is the highest value of .

According to the given information, the distribution of  is uniform with parameters  and , mathematically

.  

Substituting the values of  and , in the formula it gives

 

Therefore, the theoretical standard deviation is .

 

 

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