Actuarial Notes

SOA Exam P Sample Question 225

Study guide: Exam P-1

The loss L due to a boat accident is exponentially distributed.

Boat insurance policy A covers up to 1 unit for each loss. Boat insurance policy B covers up to 2 units for each loss.

The probability that a loss is fully covered under policy B is 1.9 times the probability that it is fully covered under policy A.

Calculate the variance of L.

  • A) 0.1
  • B) 0.4
  • C) 2.4
  • D) 9.5
  • E) 90.1

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