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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. Passed the Course Did not Pass the Course Total Completed HW Did not Complete HW 27 8 6 33 16 24 Total 35 22 57 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 completed the HW? What is the probability a student passed the course and did not complete the HW? What is the probability a student did not pass the course or completed the HW? What is the probability a student passed the course given that they completed the HW?

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 27 8 6 33 16 24 Total 35 22 57 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 completed the HW? What is the probability a student passed the course and did not complete the HW? What is the probability a student did not pass the course or completed the HW? What is the probability a student passed the course given that they completed the HW?

MATLAB: An Introduction with Applications
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. | | Completed HW | Did not Complete HW | Total | |-----------------------------------|--------------|----------------------|-------| | **Passed the Course** | 27 | 8 | 35 | | **Did not Pass the Course** | 6 | 16 | 22 | | **Total** | 33 | 24 | 57 | --- 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 completed the HW?** **__________ %** **What is the probability a student passed the course and did not complete the HW?** **__________ %** **What is the probability a student did not pass the course or completed the HW?** **__________ %** **What is the probability a student passed the course given that they completed the HW?** **__________ %** --- *Explanation of the table:* 1. **Rows**: Indicating whether students passed the course or did not pass the course. 2. **Columns**: Indicating whether students completed their homework or did not complete their homework. 3. **Totals**: The sums of students in each category are provided in the margins of the table.
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. | | Completed HW | Did not Complete HW | Total | |-----------------------------------|--------------|----------------------|-------| | **Passed the Course** | 27 | 8 | 35 | | **Did not Pass the Course** | 6 | 16 | 22 | | **Total** | 33 | 24 | 57 | --- 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 completed the HW?** **__________ %** **What is the probability a student passed the course and did not complete the HW?** **__________ %** **What is the probability a student did not pass the course or completed the HW?** **__________ %** **What is the probability a student passed the course given that they completed the HW?** **__________ %** --- *Explanation of the table:* 1. **Rows**: Indicating whether students passed the course or did not pass the course. 2. **Columns**: Indicating whether students completed their homework or did not complete their homework. 3. **Totals**: The sums of students in each category are provided in the margins of the table.
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