The probability that a student passes an test is 0.92, given that he studied. The probability that he passes the test without studying is 0.15. As he is a diligent student, we know that the probability that the student studies for a test is just 80%. Given the student passed the exam, determine the probability that he studied. Use a calculator to simplify your answer, and round it to three decimal places.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Q1
The probability that a student passes an
test is 0.92, given that he studied. The
probability that he passes the test without
studying is 0.15. As he is a diligent student,
we know that the probability that the
student studies for a test is just 80%. Given
the student passed the exam, determine
the probability that he studied. Use a
calculator to simplify your answer, and
round it to three decimal places.
Transcribed Image Text:Q1 The probability that a student passes an test is 0.92, given that he studied. The probability that he passes the test without studying is 0.15. As he is a diligent student, we know that the probability that the student studies for a test is just 80%. Given the student passed the exam, determine the probability that he studied. Use a calculator to simplify your answer, and round it to three decimal places.
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