Actuarial Notes

SOA Exam P Sample Question 535

Study guide: Exam P-1

A policyholder experiences one accident under a health insurance policy and one accident under a dental insurance policy. The health insurance policy reimburses 80% of losses. Losses under this policy have variance 40,000. The dental insurance policy reimburses 90% of losses. Losses under this policy have variance 10,000.

The policyholder's two losses are independent.

Calculate the variance of the policyholder's total unreimbursed loss under these policies.

  • A) 1{,}700
  • B) 9{,}000
  • C) 16{,}300
  • D) 33{,}700
  • E) 50{,}000

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