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.
According to the given information, the distribution of is uniform with parameters and , in mathematical terms
The lowest value of is and the highest value of is
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.
For ,
,
.
The area corresponds to a probability.
Therefore, the probability that is less than is , in mathematical terms
.
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