Actuarial Notes

SOA Exam FAM Sample Question 6

Study guide: Exam FAM

You are given:

Claim Size (X) Number of Claims
(0, 25] 25
(25, 50] 28
(50, 100] 15
(100, 200] 6

Assume a uniform distribution of claim sizes within each interval.

Calculate E(X^2) - E[(X \wedge 150)^2].

  • A) Less than 200
  • B) At least 200, but less than 300
  • C) At least 300, but less than 400
  • D) At least 400, but less than 500
  • E) At least 500

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Concepts tested

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