Actuarial Notes

SOA Exam P Sample Question 285

Study guide: Exam P-1

Appraisals of the value of a necklace are uniformly distributed on the interval [\theta-3,\, \theta+1], where \theta is the actual price the owner paid for the necklace. Four mutually independent appraisals are obtained.

Let L denote the lowest of the four appraisals and H the highest.

Calculate P[L < \theta < H].

  • A) 0.152
  • B) 0.188
  • C) 0.600
  • D) 0.680
  • E) 0.996

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