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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
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