SOA Exam P Sample Question 299
Study guide: Exam P-1
An insurance company categorizes its policyholders into three mutually exclusive groups. A study produced the following information:
| Group | Number of policyholders | Probability a policyholder has no claims |
|---|---|---|
| A | 20,000 | 70% |
| B | 45,000 | 90% |
| C | 35,000 | 50% |
Within each group, the numbers of claims made by individual policyholders are mutually independent Poisson random variables.
Calculate the expected total number of claims, in thousands, made by the 100,000 policyholders.
- A) 21
- B) 28
- C) 36
- D) 64
- E) 72
Answer this question and see the worked solution