Actuarial Notes

Exam P Practice Question 907

Study guide: Exam P-1

An insurer's losses follow a distribution with density function f(x) = \frac{6}{(1+x)^7}, \quad x > 0

The company sells a policy with a deductible of 2 and a maximum covered loss of 6 (maximum benefit of 4).

Calculate the expected benefit paid per loss.

  • A) 5.79 \times 10^{-4}
  • B) 8.11 \times 10^{-4}
  • C) 1.07 \times 10^{-3}
  • D) 2.16 \times 10^{-3}
  • E) 4.32 \times 10^{-3}

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