Question

What are the 2 ways you can be exempt from your cumulative final? After you find the answer, please let me know if you are interested in either option and which one.

Answer 1

The two ways a student can be exempt from the cumulative final are not having a final exam and not requiring a research paper.

Step-by-step explanation:

In this situation, we need to find the two ways a student can be exempt from the cumulative final. To answer this question, we need to examine the given information: 72% of courses have final exams and 46% require research papers, with 32% of courses having both a final exam and a research paper. Based on these statistics, we can determine the probabilities as follows:

1. Probability of having a final exam = 72%

2. Probability of requiring a research paper = 46%

To find the probability of being exempt from the cumulative final, we need to find the probability of NOT having a final exam or NOT requiring a research paper. This can be calculated by subtracting the probabilities of having a final exam and requiring a research paper from 100%:

1. Probability of NOT having a final exam = 100% - 72% = 28%

2. Probability of NOT requiring a research paper = 100% - 46% = 54%

Therefore, there are two ways a student can be exempt from the cumulative final:

1. Not having a final exam (28% probability)
2. Not requiring a research paper (54% probability)