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試卷:112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 101-150#119921 | 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 101-150#119921

年份:112年

科目:Exam P:Probability機率

117. In each of the months June, July, and August, the number of accidents occurring in that month is modeled by a Poisson random variable with mean 1. In each of the other 9 months of the year, the number of accidents occurring is modeled by a Poisson random variable with mean 0.5. Assume that these 12 random variables are mutually independent.
Calculate the probability that exactly two accidents occur in July through November.
(A) 0.084
(B) 0.185
(C) 0.251
(D) 0.257
(E) 0.271
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