Actuarial Notes

SOA Exam FAM Sample Question 26

Study guide: Exam FAM

The unlimited severity distribution for claim amounts under an auto liability insurance policy is given by the cumulative distribution:

F(x) = 1 - 0.8e^{-0.02x} - 0.2e^{-0.001x}, \quad x \ge 0

The insurance policy pays amounts up to a limit of 1000 per claim.

Calculate the expected payment under this policy for one claim.

  • A) 57
  • B) 108
  • C) 166
  • D) 205
  • E) 240

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