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 27 6 33 Did not Complete HW 5 18 23 Total 32 24 56 A student from the class is randomly selected. Determine the following probabilities. Enter your results as percents rounded to two decimal places.

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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
27
6
33
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?
%
Did not Complete HW
5
18
23
Total
32
24
56
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?
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. Passed the Course Did not Pass the Course Total % Completed HW 27 6 33 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? % Did not Complete HW 5 18 23 Total 32 24 56 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?
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