Actuarial Notes

SOA Exam P Sample Question 579

Study guide: Exam P-1

The time T, in years, a fuse lasts is a random variable with density function

g(t) = \begin{cases}
te^{-t}, & \text{for } t > 0 \\
0, & \text{otherwise.}
\end{cases}

Calculate the probability that a fuse lasts at most two years, given that it lasts at least one year.

  • A) 0.061
  • B) 0.330
  • C) 0.448
  • D) 0.736
  • E) 0.807

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