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Chapter 5: Q.39 (page 348)

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 (0.5 years) to 9.5 years.

Write the probability density function

Short Answer

Expert verified

The Probability distribution function isfx=19,0.5<x<9.50,Otherwise

Step by step solution

01

Given Scenario

As per the given scenario;

the age of cars in staff parking lot considered to be uniformly distributed.

Suppose the age of the acrs in suburban college is denoted with X, hence x can be considered as intervals.

=0.5<x<9.5

02

Calculation of Probability Distribution function

As per the above consideration probability distribution function will be;

f(x)=1b-a=19.5-0.5=19

Therefore the probability distribution function can be represented as;

fx=19,0.5<x<9.50,Otherwise

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