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 third quartile of ages of cars in the lot. This means you will have to find the value such that , or , of the cars are at most (less than or equal to) that age.
Step-by-step explanation
Step 1.
The notation of the uniform distribution is, .
where, is the lowest value of and is the highest value of .
The probability density function is as follows:
where .
According to the given information, the distribution of is uniform with parameters and , in mathematical form
.
On substitute for and for in the probability density function.
where .
The height of the distribution is .
The graph of the third quartile is given below:
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