SOA Exam P Sample Question 123
Study guide: Exam P-1
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0, 60] and are independent. The insurer covers 100% of each claim.
Calculate the probability that the total benefit paid to the policyholder is 48 or less.
- A) 0.320
- B) 0.400
- C) 0.800
- D) 0.892
- E) 0.924
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