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Suppose that I give a diagnostic quiz to students in a course in order to predict the likelihood that they will pass a particular exam

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Suppose that I give a diagnostic quiz to students in a course in order to predict the likelihood that they will pass a particular exam Historically, given a student failed the exam she failed the quiz 95% of the time Further in 17% of cases, given a student passed the exam that student failed the diagnostic quiz. The true percent of students who fail the exam is 13% What is the probability that a student will fail the exam given s/he has failed the quiz? Present your answer as a proportion (e.g., .0956), not as a percentage. Round your final answer (not intermediate calculations) to four (4) decimal places

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