I find interesting to address the middle one statistically.
A given machine has a number of random events that can kill it. Each possible event type i can be modeled as a Poisson process Xᵢ with, in a given year, probability λᵢ. The machine survives in a given year if no occurrence of event i happens, with probability Pr(Xᵢ = 0) = exp(-λᵢ).
For instance, a device with an average lifetime of 8 years and a single possible cause of death, has λ = -ln(½^⅛) = 0.087.
Given N independent event types (say, if you have on the order of N components), the yearly survival of the overall machine has probability Πᷡᵢ exp(-λᵢ).
Thus the lifetime of the overall machine is ln(½)÷ln(½^(Σᷡᵢ 1÷Lᵢ)) = 1 ÷ Σᷡᵢ (1÷Lᵢ) if each component has lifetime Lᵢ.
For instance, two components with an average lifetime of 8 years yield a single machine with an average lifetime of 4 years.
The more death-causing event types there are, the smaller the lifetime; and a general-purpose robot inherently has more.
I believe this result is counter-intuitive, and is the reason you might be led to think I am overly pessimistic.
> ... N independent event types ...
So if the robot blows a $0.03 (i.e., 3 cents) electrolytic cap [0], that's an independent event type that "killed" the machine? Just trying to get a sense of how you define "machine kill" (and as I said I mentioned a big caveat of right-to-repair laws).
- 4-year robot lifetime is overly pessimistic. If upgrade is not the reason (which has nothing to do with lifetime, it's your choice to upgrade), a robot could last way more than 4-years (especially with right-to-repair laws in place).
- That said, such a robot will most likely be available for less than $21k and very soon in the near future.