Actuarial Notes

SOA Exam P Sample Question 515

Study guide: Exam P-1

Losses, X, in millions, are modeled by a distribution with density function

f(x) = \begin{cases}
k(1-x)^3, & \text{for } 0 < x < 1 \\
0, & \text{otherwise,}
\end{cases}

where k is a constant.

Claim payments are limited to a maximum of 225,000.

Calculate the median claim payment.

  • A) 159{,}000
  • B) 173{,}000
  • C) 187{,}000
  • D) 200{,}000
  • E) 225{,}000

Answer this question and see the worked solution

Concepts tested

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