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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 eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (  years) to  years.
Find the probability that a randomly chosen car in the lot was less than four years old.

Step-by-step explanation

Step 1.

For the probability distribution .

On substitute  for  and  for  in the probability density function.

  where .

The graph of  is a horizontal line segment when 

The area between for and the -axis is the area of the rectangle.

,

.  

  

The area corresponds to a probability, mathematically,

.  

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