Actuarial Notes

SOA Exam P Sample Question 50

Study guide: Exam P-1

An insurance policy reimburses a loss up to a benefit limit of 10. The policyholder's loss, Y, follows a distribution with density function: f(y) = \begin{cases} \frac{2}{y^3}, & y > 1 \\ 0, & \text{otherwise.} \end{cases}

Calculate the expected value of the benefit paid under the insurance policy.

  • A) 1.0
  • B) 1.3
  • C) 1.8
  • D) 1.9
  • E) 2.0

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