When an electron is moving around in it's orbital, is it actually moving around like a wave, like this video shows? (By wave-like, I mean, the "electron" in this video is showing it following a predictable wave-like path, which would mean you could precisely determine it's position which obviously you can't).

Or, instead, does it just have some probability to be in that orbital's space, and just randomly jumps around from one point to another? Or if not that, how does the electron move around in its orbital?