In: Math
I have the answers for these questions, according to my study guide. I don't understand how the answers were obtained, though, so please show work!
A) You are planning to take two exams. According to the records, the failure rates for the two exams are 15% and 25%, respectively. Additionally, 80% of the student who passed the exam 1 passed exam 2. (The 80% is based on the given condition.)
What will be the probability that you fail the 1st exam, if you did not pass the 2nd exam?
0.32
B) You are planning to take two exams. According
to the records, the failure rates for the two exams are 15% and
25%, respectively. Additionally, 80% of the student who passed the
exam 1 passed exam 2. (The 80% is based on the given
condition.)
What is the probability that you will fail at most one exam?
0.92
C) You are planning to take two exams. According to the records, the failure rates for the two exams are 15% and 25%, respectively. Additionally, 80% of the student who passed the exam 1 passed exam 2. (The 80% is based on the given condition.)
Given that you have passed at least one of the exams, what is the probability that you have passed only one exam?
0.2609