Actuarial Notes

SOA Exam P Sample Question 308

Study guide: Exam P-1

A life insurance policy pays 1000 upon the death of a policyholder provided that the policyholder survives at least one year but less than five years after purchasing the policy.

Let X denote the number of years that a policyholder survives after purchasing the policy with the following probabilities:

x P[X < x]
1 0.05
2 0.12
3 0.21
4 0.33
5 0.48

Calculate the standard deviation of the payment made under this policy.

  • A) 218
  • B) 430
  • C) 480
  • D) 495
  • E) 500

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Concepts tested

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