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Chapter 5: Q. 42 (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 probability that a randomly chosen car in the lot was less than four years old;

a. Sketch the graph, and shade the area of interest.

b. Find the probability. P(x<4)

Short Answer

Expert verified

a. The graph is as follows;

b. The Probability ofP(x<4)=0.389

Step by step solution

01

Data Analysis

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 represented with X, and x as intervals.

Therefore; 0.5<x<9.5

Hence the probability distribution function or the height of the graph will be;

fx=1b-a=19.5-0.5=19

02

Graph

As per the above calculation Graph of P(x<4)can be represented as;

03

Probability of P(x<4)

The required probability can be calculated as;

P(x<4)=Base脳Height=(4-0.5)19=3.5脳19=0.389

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