Chapter 8.5, Problem 73E

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Chapter
Section

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

# Education and Employment Exercises 69–78 are based on the following table, which shows U.S. employment figures for 2014, broken down by educational attainment.61 All numbers are in millions and represent civilians aged 25 years and over. Those classed as “not in labor force” were not employed nor actively seeking employment. Round all answers to two decimal places. Employed Unemployed Not in Labor Force Total Less Than High School Diploma 9.9 1.0 13.2 24.1 High School Diploma Only 33.9 2.2 25.9 62.0 Some College or Associate’s Degree 35.3 2.0 18.4 55.7 Bachelor’s Degree or Higher 48.8 1.6 16.9 67.3 Total 127.9 6.8 74.4 209.1 Find the probability that a person who had not completed a bachelor’s degree or higher was not in the labor force.

To determine

To calculate: The probability that a person whose educational qualification was not a bachelor’s degree or higher, was not in the labor force, from the following table that shows the employment figures in the U.S. for 2014, according to people’s educational qualifications. The numbers represent the civilians (in millions) aged 25 or above.

 Employed Unemployed Not in Labor Force Total Less Than High School Diploma 9.9 1.0 13.2 24.1 High School Diploma Only 33.9 2.2 25.9 62.0 Some College or Associate’s Degree 35.3 2.0 18.4 55.7 Bachelor’s Degree or Higher 48.8 1.6 16.9 67.3 Total 127.9 6.8 74.4 209.1
Explanation

Given Information:

The following table shows the employment figures in the U.S. for 2014, according to people’s educational qualifications. The numbers represent the civilians (in millions) aged 25 or above.

 Employed Unemployed Not in Labor Force Total Less Than High School Diploma 9.9 1.0 13.2 24.1 High School Diploma Only 33.9 2.2 25.9 62.0 Some College or Associate’s Degree 35.3 2.0 18.4 55.7 Bachelor’s Degree or Higher 48.8 1.6 16.9 67.3 Total 127.9 6.8 74.4 209.1

Formula used:

Let A and B be the events; P(B)0; the conditional probability of A given B is:

P(A|B)=P(AB)P(B)

The probability of an event E, for sample space S is

P(E)=n(E)n(S)

Calculation:

It is provided that a person whose educational qualification was not a bachelor’s degree or higher, was not in the labor force.

This can be rewritten as, ‘a person is not in the labor force, given that the person had not completed a bachelor’s degree or higher’.

Consider the event that a person is not in the labor force to be A and the event that the person had not completed a bachelor’s degree or higher to be B.

Consider the provided table,

 Employed Unemployed Not in Labor Force Total Less Than High School Diploma 9.9 1.0 13.2 24.1 High School Diploma Only 33.9 2.2 25.9 62.0 Some College or Associate’s Degree 35

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