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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.

Considering only the cars less than  years old, find the probability that a randomly chosen car in the lot was less than four years old.

Step-by-step explanation

Step 1.

The notation of the uniform distribution is,

.

The lowest value of  is  and the highest value of  is  

On substitute  for  and  for  in the probability density function.

  where .

Therefore, .

The graph of the probability that a randomly chosen car in the lot is less than four years old given that the car is less than years old is given below.

 

 

 

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