Van Helsing is set to appear in the final exam of a Field Theory course, in which she is a student. If she has breakfast before the exam she is three times as likely to write all the answers on her own than copy from anyone else. If she does not eat breakfast, she is three times as likely to copy than to work independently. If she works independently her score is (approximately) a Gaussian (70, 10) random variable. If she decides to copy, then she tosses a fair coin and copies all her answers from her friend Igor if heads appear, and from her classmate Drac, if tails appear. If she copies her answers from Igor then her score is (approximately) a Gaussian (73, 10) random variable. However if she chooses Drac, then he tells her all the wrong answers on purpose, in which case her score is zero. A student fails if s/he scores 39.49 marks or below, although all the remaining grades are awared relative to the class average. The chances of Van Helsing having breakfast on the day of the exam are two out of five. If she fails the exam then what is the probability that she did not have breakfast?

Van Helsing is set to appear in the final exam of a Field Theory course, in which she is a student. If she has breakfast before the exam she is three times as likely to write all the answers on her own than copy from anyone else. If she does not eat breakfast, she is three times as likely to copy than to work independently. If she works independently her score is (approximately) a Gaussian (70, 10) random variable. If she decides to copy, then she tosses a fair coin and copies all her answers from her friend Igor if heads appear, and from her classmate Drac, if tails appear. If she copies her answers from Igor then her score is (approximately) a Gaussian (73, 10) random variable. However if she chooses Drac, then he tells her all the wrong answers on purpose, in which case her score is zero. A student fails if s/he scores 39.49 marks or below, although all the remaining grades are awared relative to the class average. The chances of Van Helsing having breakfast on the day of the exam are two out of five. If she fails the exam then what is the probability that she did not have breakfast?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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