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試卷:112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 1-50#119899 | 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 1-50#119899

年份:112年

科目:Exam P:Probability機率

46. An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the benefit decreases by 1000 each successive year until it reaches 0. If the device has not failed by the beginning of any given year, the probability of failure during that year is 0.4.

Calculate the expected benefit under this policy.
(A) 2234
(B) 2400
(C) 2500
(D) 2667
(E) 2694
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