Consider an automated plagiarism detection software that is usedto evaluate essay submissions. Four sections of a writing courseuse the software to check for plagarism, with 30% of the studentsin section 1, 16% in section 2, 30% in section 3, and 24% insection 4. In section 1 of a course, 20% of the essays are flagged,in section 2, 23%, section 3, 15% and section 4, 8%. (a) Whatpercentage of total students committed plagiarism overall? (b)Given that a particular student committed plagiarism, what in theprobability that they were registered for section 1 of the course.(c) Given that a particular student committed plagiarism, what inthe probability that they were registered for section 2 of thecourse. (d) If there are 200 students registered between these 4sections, how many students in section 3 cheated?
