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
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### 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**.
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**.
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