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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.

To calculate the conditional probability the following formula is used:

.

For the probability that a randomly selected home has more than square feet given that the house has more than  square feet.

There are two events and .

On substituting with and with , it gives

 

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

 for .

On substituting,

and :

 

The probability of is:

 

Therefore,

 

Therefore, the probability that a randomly selected home has more than square feet given that the house has more than square feet is .

 

   

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