Actuarial Notes

SOA Exam P Sample Question 49

Study guide: Exam P-1

An insurance company sells a one-year automobile policy with a deductible of 2. The probability that the insured will incur a loss is 0.05. If there is a loss, the probability of a loss of amount N is K/N, for N=1, \dots, 5 and K a constant. These are the only possible loss amounts and no more than one loss can occur.

Calculate the expected payment for this policy.

  • A) 0.031
  • B) 0.066
  • C) 0.072
  • D) 0.110
  • E) 0.150

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