Use the bar graph below, which shows the highest level of education received by employees of a company, to find the probability that the highest level of education for an employee chosen at random is D. Number of employees 40- 35- 30- 25- 20- 15- 10- 6 Level of education. 35 25 B C 16 D E The probability that the highest level of education for an employee chose at random is D is. (Round to the nearest thousandth as needed.)
Use the bar graph below, which shows the highest level of education received by employees of a company, to find the probability that the highest level of education for an employee chosen at random is D. Number of employees 40- 35- 30- 25- 20- 15- 10- 6 Level of education. 35 25 B C 16 D E The probability that the highest level of education for an employee chose at random is D is. (Round to the nearest thousandth as needed.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 23E
Related questions
Question
100%
![### Understanding Probability through Educational Levels in a Company
Use the bar graph below, which shows the highest level of education received by employees of a company, to find the probability that the highest level of education for an employee chosen at random is D.
#### Graph Description
The bar graph has the following structure:
- **X-axis (horizontal):** Represents the level of education labeled from A to F.
- **Y-axis (vertical):** Represents the number of employees, with values ranging from 5 to 35.
Here is the detailed breakdown of the highest level of education received by the number of employees:
- **Level A:** 6 employees
- **Level B:** 25 employees
- **Level C:** 35 employees
- **Level D:** 16 employees
- **Level E:** 5 employees
- **Level F:** 1 employee
#### Calculating the Probability
The probability that the highest level of education for an employee chosen at random is level D can be calculated using the formula for probability:
\[ P(D) = \frac{\text{Number of employees with level D education}}{\text{Total number of employees}} \]
Total number of employees = 6 (A) + 25 (B) + 35 (C) + 16 (D) + 5 (E) + 1 (F) = 88
\[ P(D) = \frac{16}{88} \]
Simplify the fraction:
\[ P(D) = \frac{2}{11} \approx 0.182 \]
Round the result to the nearest thousandth:
\[ P(D) \approx 0.182 \]
**Answer:**
The probability that the highest level of education for an employee chosen at random is D is approximately **0.182**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20a0be3e-3983-4420-aed0-1c62c53b9b01%2F6d58fcdb-5fed-47b3-9111-274d07ae7c61%2Fm7b3cih_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Probability through Educational Levels in a Company
Use the bar graph below, which shows the highest level of education received by employees of a company, to find the probability that the highest level of education for an employee chosen at random is D.
#### Graph Description
The bar graph has the following structure:
- **X-axis (horizontal):** Represents the level of education labeled from A to F.
- **Y-axis (vertical):** Represents the number of employees, with values ranging from 5 to 35.
Here is the detailed breakdown of the highest level of education received by the number of employees:
- **Level A:** 6 employees
- **Level B:** 25 employees
- **Level C:** 35 employees
- **Level D:** 16 employees
- **Level E:** 5 employees
- **Level F:** 1 employee
#### Calculating the Probability
The probability that the highest level of education for an employee chosen at random is level D can be calculated using the formula for probability:
\[ P(D) = \frac{\text{Number of employees with level D education}}{\text{Total number of employees}} \]
Total number of employees = 6 (A) + 25 (B) + 35 (C) + 16 (D) + 5 (E) + 1 (F) = 88
\[ P(D) = \frac{16}{88} \]
Simplify the fraction:
\[ P(D) = \frac{2}{11} \approx 0.182 \]
Round the result to the nearest thousandth:
\[ P(D) \approx 0.182 \]
**Answer:**
The probability that the highest level of education for an employee chosen at random is D is approximately **0.182**.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![PREALGEBRA](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)