Actuarial Notes

SOA Exam P Sample Question 497

Study guide: Exam P-1

Let X, Y, and Z represent three independent losses with common density function

f(x) = \begin{cases}
\dfrac{1}{6}e^{-x/6}, & \text{for } 0 < x < \infty \\
0, & \text{otherwise.}
\end{cases}

Let W represent the minimum of the losses.

Calculate E(W).

  • A) 1/6
  • B) 1/3
  • C) 1/2
  • D) 2
  • E) 6

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