A student is taking an exam with 10 true/false questions; the student is guessing on every question, with a 1/2 probability of getting each question right. To pass, the student needs to answer at least 7 out of 10 questions correctly. What is the expected number of correct answers, conditioned on the student passing?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A student is taking an exam with 10 true/false questions; the student is guessing on every question, with a 1/2 probability of getting each question right. To pass, the student needs to answer at least 7 out of 10 questions correctly. What is the expected number of correct answers, conditioned on the student passing?

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