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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
1 Nov 2021

Given information

Use the following information to answer the next ten questions. The data that follow are the square footage (in  feet
squared) of  homes.
The   and the   
The distribution can be written as 

Step-by-step explanation

Step 1.

According to the given information, the distribution of the random variable  is uniform with parameters  and .

The probability density function of the uniform distribution is given by,

 for .

On substituting  for  and  for  in the probability density function.

  

Therefore, the height of  is .

For the range  to  the probability curve is given below,

The area of the shaded region is the required probability:

 

The area corresponds to a probability. The probability that is between and is , In mathematical terms

.

Therefore, the value of is .

 

 

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