Actuarial Notes

SOA Exam P Sample Question 379

Study guide: Exam P-1

A building experiences a power failure. The probability density function of the length (in days) of this power failure is

f(x) = \begin{cases}
\dfrac{(4-x)^3}{64}, & \text{for } 0 < x < 4 \\
0, & \text{otherwise.}
\end{cases}

Calculate the median length (in days) of this power failure.

  • A) 0.0
  • B) 4 - \sqrt[4]{128}
  • C) 0.8
  • D) 4 - \sqrt[3]{32}
  • E) 2.0

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