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At a major broker-dealer, there occurs o...

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题目

At a major broker-dealer, there occurs on average a high-frequency, low-severity (HFLS) operational loss five times per day. According to a Poisson distribution, on a given single day, what is the probability that at least one operational loss will occur?

选项

A.89.3%

B.91.3%

C.95.3%

D.99.3%

答案

D

解析

P(X>0) = 1 - P(X=0) = 1 -5^0 *e^(-5)/0! = 1 -e^(-5) = 99.33%P(X>0) = 1 - P(X=0) = 1 -5^0 *e^(-5)/0! = 1 -e^(-5) = 99.33%