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試卷:112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 251-319#119927 | 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 251-319#119927

年份:112年

科目:Exam P:Probability機率

256. A loss under a liability policy is modeled by an exponential distribution. The insurance company will cover the amount of that loss in excess of a deductible of 2000. The probability that the reimbursement is less than 6000, given that the loss exceeds the deductible, is 0.50.

Calculate the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible.
(A) 0.28
(B) 0.35
(C) 0.50
(D) 0.65
(E) 0.72
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