A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below. Passed the Course Did not Pass the Course Total Completed HW Did not Complete HW 26 7 6 32 13 20 Total 33 19 52 A student from the class is randomly selected. Determine the following probabilities. Enter your results as percents rounded to two decimal places. What is the probability a student passed the course? What is the probability a student passed the course or completed the HW? What is the probability a student passed the course and completed the HW? What is the probability a student completed their homework given that they passed the course?
A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below. Passed the Course Did not Pass the Course Total Completed HW Did not Complete HW 26 7 6 32 13 20 Total 33 19 52 A student from the class is randomly selected. Determine the following probabilities. Enter your results as percents rounded to two decimal places. What is the probability a student passed the course? What is the probability a student passed the course or completed the HW? What is the probability a student passed the course and completed the HW? What is the probability a student completed their homework given that they passed the course?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![## Contingency Tables and Conditional Probability: Homework and Passing a Course
### Analysis of Student Performance
A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below.
| | Completed HW | Did not Complete HW | Total |
|----------------------|--------------|----------------------|-------|
| **Passed the Course**| 26 | 7 | 33 |
| **Did not Pass the Course** | 6 | 13 | 19 |
| **Total** | 32 | 20 | 52 |
### Probability Questions
A student from the class is randomly selected. Determine the following probabilities. Enter your results as percents rounded to two decimal places.
1. **What is the probability a student passed the course?**
- **Answer:** [ ] %
2. **What is the probability a student passed the course or completed the HW?**
- **Answer:** [ ] %
3. **What is the probability a student passed the course and completed the HW?**
- **Answer:** [ ] %
4. **What is the probability a student completed their homework given that they passed the course?**
- **Answer:** [ ] %
### Detailed Explanation of the Table
The table provides a contingency analysis for the relationship between homework completion and course passing. It contains the following four categories:
- Students who completed their homework and passed the course.
- Students who completed their homework but did not pass the course.
- Students who did not complete their homework but still passed the course.
- Students who did not complete their homework and did not pass the course.
The total numbers in each category allow for calculating probabilities and understanding the correlation between homework completion and academic performance in this scenario.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11f84057-ddc6-4a16-833f-eeebb801b1ce%2Fbec5987a-10d7-45d0-8616-f4e93b268ad1%2Fxrjg2sd_processed.png&w=3840&q=75)
Transcribed Image Text:## Contingency Tables and Conditional Probability: Homework and Passing a Course
### Analysis of Student Performance
A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below.
| | Completed HW | Did not Complete HW | Total |
|----------------------|--------------|----------------------|-------|
| **Passed the Course**| 26 | 7 | 33 |
| **Did not Pass the Course** | 6 | 13 | 19 |
| **Total** | 32 | 20 | 52 |
### Probability Questions
A student from the class is randomly selected. Determine the following probabilities. Enter your results as percents rounded to two decimal places.
1. **What is the probability a student passed the course?**
- **Answer:** [ ] %
2. **What is the probability a student passed the course or completed the HW?**
- **Answer:** [ ] %
3. **What is the probability a student passed the course and completed the HW?**
- **Answer:** [ ] %
4. **What is the probability a student completed their homework given that they passed the course?**
- **Answer:** [ ] %
### Detailed Explanation of the Table
The table provides a contingency analysis for the relationship between homework completion and course passing. It contains the following four categories:
- Students who completed their homework and passed the course.
- Students who completed their homework but did not pass the course.
- Students who did not complete their homework but still passed the course.
- Students who did not complete their homework and did not pass the course.
The total numbers in each category allow for calculating probabilities and understanding the correlation between homework completion and academic performance in this scenario.
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