The proof does not rely on any assumption about the source or human usage of the random variable.

Statistics plays a huge role in physics and chemistry. I'm positive that statistics plays a huge role in medicine, which is biology, which is chemistry.


Consider the plethora of odd results predicted by the Schroedinger Equation. In a strikingly huge number of experiments, a proof was obtained from the Schroedinger Equation to a predicted value, which was then observed.

It's this kind of mathematical proof leading to demonstrable observations which propels physics forward at this point (about the past 100 years).

GPS, rockets to space, all of it is based on proofs.

(ASIDE: statistical analysis is a part of everything in physics / engineering.)