SOA Exam P Sample Question 477
Study guide: Exam P-1
The time, in years, until replacement for a new telephone pole has probability density function
f(t) = \begin{cases}
kt, & \text{for } 0 < t < 20 \\
0, & \text{otherwise,}
\end{cases}where k is a constant.
Calculate the probability that a new telephone pole will be replaced within ten years given that it is not replaced within five years.
- A)
0.19 - B)
0.20 - C)
0.25 - D)
0.33 - E)
0.94
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