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 % 5 HER 32 Did not Complete HW 8 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? % 16 24 What is the probability a student passed the course or completed the HW? Total 35 21 56 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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