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試卷:112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 151-200#119924 | 科目:Exam P:Probability機率

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試卷名稱:112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 151-200#119924

年份:112年

科目:Exam P:Probability機率

151. The following information is given about a group of high-risk borrowers.
i) Of all these borrowers, 30% defaulted on at least one student loan.
ii) Of the borrowers who defaulted on at least one car loan, 40% defaulted on at least one student loan.
iii) Of the borrowers who did not default on any student loans, 28% defaulted on at least one car loan.
A statistician randomly selects a borrower from this group and observes that the selected borrower defaulted on at least one student loan.
Calculate the probability that the selected borrower defaulted on at least one car loan.
(A) 0.33
(B) 0.40
(C) 0.44
(D) 0.65
(E) 0.72
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