SOA Exam P Sample Question 117
Study guide: Exam P-1
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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