If 'going down' is an event governed by chance (e.g. power failure), then it does not matter if it has been up for 55 months or 55 minutes.
If 'going down' is an event governed by chance (e.g. power failure), then it does not matter if it has been up for 55 months or 55 minutes.
Think the probability of the machine shutting down in the next minute is independent of age, but it shutting off in the next 100 years is certain. There’s a line or curve that should indicate probability of shutting down before OP writes the replacement.
The fact that the server has been running uninterrupted for 55 months is a strong clue that the power to this system is robust, not subject to "random" power loss scenarios like one would expect at a typical residence.
I don't remember random power losses in typical first world residences after perhaps the 1990s?
See eg https://en.wikipedia.org/wiki/Bathtub_curve for a common way to fail. Or https://en.wikipedia.org/wiki/Reliability_engineering in general.
You are right about some specific kinds of spontaneous failures. (Though not sure if external power failures are distributed that way.)