SOA Exam P Sample Question 451
Study guide: Exam P-1
A system has three mutually independent components. Each component has a lifetime that is modeled by a random variable with density function
f(y) = \begin{cases}
e^{-(y-5)}, & \text{for } y > 5 \\
0, & \text{otherwise.}
\end{cases}The system will fail when any of the three components fail.
Calculate the expected lifetime of the system.
- A)
5.20 - B)
5.33 - C)
5.67 - D)
6.00 - E)
6.33
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