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試卷:112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 201-250#119925 | 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 201-250#119925

年份:112年

科目:Exam P:Probability機率

240. A company provides a death benefit of 50,000 for each of its 1000 employees. There is a 1.4% chance that any one employee will die next year, independent of all other employees. The company establishes a fund such that the probability is at least 0.99 that the fund will cover next year’s death benefits.

Calculate, using the Central Limit Theorem, the smallest amount of money, rounded to the nearest 50 thousand, that the company must put into the fund.
(A) 750,000
(B) 850,000
(C) 1,050,000
(D) 1,150,000
(E) 1,400,000
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