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Chapter 5: Q. 41 (page 349)

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. Find the average age of the cars in the lot.

Short Answer

Expert verified

Average Car in the lot is 5

Step by step solution

01

Given Data

As per given Data;

Uniform distribution has been considered within the age of cars in staff parking lot of suburban college

Thus;

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

0.5<x<9.5

thus;

a=0.5b=9.5

02

Average Age of the Cars

The average age of the acrs can be derived through;

μ=a+b2

Now putting the value; a=0.5b=9.5

The Equation become;

μ=a+b2=0.5+9.52=102=5

The average age of the cars in the parking is 5 years

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