A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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
Total
Passed the Course
23
8
31
Did not Pass the Course
4
14
18
Total
27
22
49
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?
%
What 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?
%
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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 Total Passed the Course 23 8 31 Did not Pass the Course 4 14 18 Total 27 22 49 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? % What 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? %
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