1
answer
268
views
24
Problem

For access to Textbook Solutions, a Class+ or Grade+ subscription is required.

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.

The range of is from to is restricted to the portion between and  inclusive.

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

for .

On substituting for and for in the probability density function.

 

The height of is .

There is ninety percent of square footage for homes fall below the percentile, hence

 

The base of the rectangle is, .

Using the formula for the area

,

On substituting for the base and for height in the above-mentioned formula, we get

 

Therefore, the percentile of square footage for homes is  

  

 

 

Unlock all Textbook Solutions

Already have an account? Log in
Start filling in the gaps now
Log in