The following table shows U.S. employment figures for 2014, broken down by educational attainment. 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.

EmployedUnemployedNot in Labor ForceTotalLess 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 had a bachelor's degree or higher, given that the person was unemployed. Round your answer to two decimal pla

To solve this problem, we need to find the conditional probability that a person has a bachelor's degree or higher, given that they are unemployed.

The formula for conditional probability is:

\[
P(A|B) = \frac{P(A \cap B)}{P(B)}
\]

Where:
- \(P(A|B)\) is the probability of event A happening given that event B has occurred.
- \(P(A \cap B)\) is the probability that both A and B happen (the intersection of A and B).
- \(P(B)\) is the probability of event B happening.

### Step 1: Define the events
- Event \(A\): The person has a bachelor's degree or higher.
- Event \(B\): The person is unemployed.

We are given that:
- The total number of unemployed people is \(6.8\) million.
- The number of unemployed people with a bachelor's degree or higher is \(1.6\) million.

### Step 2: Calculate the conditional probability

Using the conditional probability formula:

\[
P(\text{Bachelor's degree or higher} | \text{Unemployed}) = \frac{1.6}{6.8}
\]

\[
P(\text{Bachelor's degree or higher} | \text{Unemployed}) = 0.2353
\]

### Step 3: Round the answer

Rounding the result to two decimal places:

\[
P(\text{Bachelor's degree or higher} | \text{Unemployed}) = 0.24
\]

Thus, the probability that a person has a bachelor's degree or higher, given that they are unemployed, is **0.24**.

Would you like any further details or clarification?

Here are 5 related questions:
1. What is the probability that a person with a high school diploma only is unemployed?
2. How do you find the probability of being employed given a specific educational level?
3. What is the probability that a randomly selected person is not in the labor force?
4. How do you calculate the overall unemployment rate from this data?
5. How can you use this data to estimate the employment rate by education level?

**Tip**: Conditional probability helps in analyzing real-life data by focusing on the occurrence of one event based on the knowledge of another.

Find the probability that a person had a bachelor's degree or higher, given that the person was unemployed. Round your answer to two decimal places.

Learn how to calculate the conditional probability of having a bachelor's degree or higher, given unemployment, using U.S. employment data from 2014. This problem demonstrates the application of conditional probability, with a step-by-step guide to solving P(A|B). Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation