A thought experiment:
Given some object moving (swinging) from left to right and back with constant velocity, imagine a camera set up to take a picture of the scene at a fixed interval so that we can expect the object to be in the center.
Now "the perfect"/expected scenario would be: in every picture taken the object is found at the same place.
In reality what we probably get is a distribution: in some pictures the object more or less slightly left or right of the center even though in most pictures the object is really centered.
That's quite resembling to the position measurements we do at small levels which come up with "distributions" and "probabilities" for positional (and other) information of atoms or electrons for example.
Now, why are those distributions believed to be properties of the measured entities? Why can't they "simply" be explained by inexact timing of the camera triggers in the example above? The results would be the same, right?
Or would they? I'm a layman so most probably I missed something profound and would like to know what ;)
Thanks in advance