Question: You are deciding whether it is worthwhile to study for the CSMC052 final . You saw the following statistics on the subreddit: 4/5 of students

You are deciding whether it is worthwhile to study for the CSMC052 final . You saw the following statistics on the subreddit:

4/5 of students who passed the final last year studied for it.

3/5 of all students studied for the final .

3/4 of all students passed the final. Assuming these statistics hold this year, use Bayes' Law to answer the following questions (show your work):

(a) What is the probability you pass the final , given that you study for it?

(b) What is the probability you do not pass the final , given that you do not study for it?

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