Question

If a student passed the first actuarial exam in June, she will take the second exam in July. If she passes that exam, she will take the third exam in September. If she fails an exam, she will not be allowed to take the next ones. P(passing first exam) = 0.9; P(passing second exam|passed first exam) = 0.8 P(passing third exam|passed first two exams) = 0.7 P(failed second exam|did not pass all exams) = 1 - P(passing second exam|passed first exam)

          If a student passed the first actuarial exam in June, she will take the second exam in July. If she passes that exam, she will take the third exam in September. If she fails an exam, she will not be allowed to take the next ones.
P(passing first exam) = 0.9;
P(passing second exam|passed first exam) = 0.8
P(passing third exam|passed first two exams) = 0.7
P(failed second exam|did not pass all exams) = 1 - P(passing second exam|passed first exam)

Added by Christopher B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Prashant Bana

Step 1

Given: \( P(\text{passing first exam}) = 0.9 \). Show more…

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If a student passed the first actuarial exam in June, she will take the second exam in July. If she passes that exam, she will take the third exam in September. If she fails an exam, she will not be allowed to take the next ones. P(passing first exam) = 0.9; P(passing second exam|passed first exam) = 0.8 P(passing third exam|passed first two exams) = 0.7 P(failed second exam|did not pass all exams) = 1 - P(passing second exam|passed first exam)