Actuarial Notes

SOA Exam P Sample Question 601

Study guide: Exam P-1

Losses due to automobile accidents have a probability density function given by

f(x) = \begin{cases}
\dfrac{3}{1000}\left(\dfrac{1000}{x}\right)^4, & \text{for } x > 1000 \\[6pt]
0, & \text{otherwise.}
\end{cases}

An automobile policy has a deductible of 1100.

Calculate the expected value of the policy payout for a random loss.

  • A) 140
  • B) 400
  • C) 413
  • D) 826
  • E) 1240

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