Actuarial Notes

SOA Exam P Sample Question 220

Study guide: Exam P-1

A motorist just had an accident. The accident is minor with probability 0.75 and is otherwise major.

Let b be a positive constant. If the accident is minor, then the loss amount follows a uniform distribution on the interval [0, b]. If the accident is major, then the loss amount follows a uniform distribution on the interval [b, 3b].

The median loss amount due to this accident is 672.

Calculate the mean loss amount due to this accident.

  • A) 392
  • B) 512
  • C) 672
  • D) 882
  • E) 1008

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