ntsContingency Tables and Conditional Probability: Homework and Passing a CourseA teacher categorized students by whether they regularly completed their homework (or not) andwhether they passed the course (or not). The data are in the table below.Passed the CourseDid not Pass the CourseTotalCompleted Homework Did not Complete Homework Total3219512733051621A student from the class is randomly selected. Determine the following probabilites. Enter your resultsas percents rounded to two decimal places.What is the probability a student passed the course given that they completed their homework?Submit QuestionWhat is the probability a student passed the course given that they didn't complete their homework?What is the probability a student completed their homework given that they passed the course?What is the probability a student didn't complete their homework given that they didn't pass the course?

The required probabilities are determined as shown below.

Answered: Contingency Tables and Conditional…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A student must have a B average or better for all courses to qualify for any athletic team at Jefferson High School. The table below shows the distribution of students' grades in three sports at the school. Students with Students with a Sport an A Average B Average Field hockey 15 4 Basketball 7 13 Football 2 22
A survey asks questions about one's happiness and health. One would think that health plays a role in one's happiness. Use the data in the accompanying table to determine whether healthier people tend to also be happier. Treat level of health as the explanatory variable. E Click the icon to view the data table. Create a conditional distribution for the data. Level of Health Data table Level of Happiness Not too happy Poor Fair Good Excellent Poor Fair Good Excellent Pretty happy Not too happy Pretty happy Very happy 1,376 1,629 9,642 696 732 Very happy 950 3,817 5,185 345 1,372 4,520 5,085 Total (Round to three decimal places as needed.) Print Done
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