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 Homework Did not Complete Homework Total 31 18 49 26 A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places. What is the probability a student passed the course given that they completed their homework? % 4 30 What is the probability a student passed the course given that they didn't complete their homework? % 5 14 19 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?

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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 Homework Did not Complete Homework
Passed the Course
Did not Pass the Course
Total
%
26
4
30
A student from the class is randomly selected. Determine the following probabilites. Enter your results as
percents rounded to two decimal places.
What is the probability a student passed the course given that they completed their homework?
%
5
14
19
What is the probability a student passed the course given that they didn't complete their homework?
%
Total
31
18
49
%
What is the probability a student completed their homework given that they passed the course?
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What is the probability a student didn't complete their homework given that they didn't pass the course?
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 Homework Did not Complete Homework Passed the Course Did not Pass the Course Total % 26 4 30 A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places. What is the probability a student passed the course given that they completed their homework? % 5 14 19 What is the probability a student passed the course given that they didn't complete their homework? % Total 31 18 49 % What is the probability a student completed their homework given that they passed the course? Submit Question What is the probability a student didn't complete their homework given that they didn't pass the course?
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