Contingency Tables and Conditional Probability: Homework and Passing a 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?
Contingency Tables and Conditional Probability: Homework and Passing a 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
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.
#### Table: Homework Completion and Course Passing
| | 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**|
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?**
- [ ]%
2. **What is the probability a student passed the course or completed the HW?**
- [ ]%
3. **What is the probability a student passed the course and completed the HW?**
- [ ]%
4. **What is the probability a student completed their homework given that they passed the course?**
- [ ]%
#### Detailed Explanation of Table:
The table is a contingency table showing the relationship between homework completion and course outcome. It is divided into various cells that capture different combinations of the two variables:
- Row for students who passed the course.
- Row for students who did not pass the course.
- Column for students who completed their homework.
- Column for students who did not complete their homework.
- Totals are provided for each row and each column, along with the grand total of 52 students.
You can use this table to calculate various probabilities by considering the frequencies in each cell relative to the total number of observations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc260e632-e4e2-45c7-853f-2d07e95220d0%2Ff988f456-35b3-41d8-8982-3c943773f9c8%2F6odrk_processed.png&w=3840&q=75)
Transcribed Image Text:### Contingency Tables and Conditional Probability: Homework and Passing a 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.
#### Table: Homework Completion and Course Passing
| | 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**|
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?**
- [ ]%
2. **What is the probability a student passed the course or completed the HW?**
- [ ]%
3. **What is the probability a student passed the course and completed the HW?**
- [ ]%
4. **What is the probability a student completed their homework given that they passed the course?**
- [ ]%
#### Detailed Explanation of Table:
The table is a contingency table showing the relationship between homework completion and course outcome. It is divided into various cells that capture different combinations of the two variables:
- Row for students who passed the course.
- Row for students who did not pass the course.
- Column for students who completed their homework.
- Column for students who did not complete their homework.
- Totals are provided for each row and each column, along with the grand total of 52 students.
You can use this table to calculate various probabilities by considering the frequencies in each cell relative to the total number of observations.
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