Actuarial Notes

SOA Exam P Sample Question 447

Study guide: Exam P-1

The amount of money stolen from an insured home during a burglary is modeled by a random variable that is uniformly distributed on the interval [0, 1000]. The claim payment that the insurer makes for such a loss under its homeowners policy has the following characteristics:

i) The claim payment equals a constant percentage, p, of the amount by which the loss exceeds 400.

ii) The expected claim payment is 90.

Calculate p.

  • A) 15\%
  • B) 18\%
  • C) 30\%
  • D) 50\%
  • E) 75\%

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