SOA Exam P Sample Question 44
Study guide: Exam P-1
A device that continuously measures and records seismic activity is placed in a remote region. The time, T, to failure of this device is exponentially distributed with mean 3 years. Since the device will not be monitored during its first two years of service, the time to discovery of its failure is X = \max(T, 2).
Calculate E[X].
- A)
2 + \frac{1}{3}e^{-6} - B)
2 - 2e^{-2/3} + 5e^{-4/3} - C) 3
- D)
2 + 3e^{-2/3} - E) 5
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