Actuarial Notes

SOA Exam P Sample Question 401

Study guide: Exam P-1

Let X be a normally distributed random variable representing the amount of an individual claim of a policyholder covered by a group health policy.

You are given that \text{Var}(X) = 250{,}000 and P[X < 1000] = 0.3446.

Calculate the difference between the 90th percentile of X and the median of X.

  • A) 241
  • B) 441
  • C) 641
  • D) 822
  • E) 980

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