This thread got me thinking about my dad's power tools, Bigfoot, and John Edward.
My dad bought a bunch of power tools from a rental store in the 1980's. One was a large drill with a metal brush. Several of these tools had old/ shorted switches that would jam, short, and worked so erratically, I ended up throwing them out. Than d#$m drill with the wire brush wheel would turn on all by itself and easily get locked "on". For no reason it would start up and start running in the garage. With the large metal brush, it was dangerous as all get out.
Not saying the OP's experience wasn't valid, but when that drill would turn on in the middle of the night, it would freak me out. Never considered it possessed though, the switch was just to far gone to work. Even tried fixing it, but couldn't find a switch. Perhaps it was possessed!
The second thought was Bigfoot. Last year, I had the fortunate pleasure of attending the a local Bigfoot convention. I went skeptical, curious, and in a good way, wanting to see evidence, wanting to believe the possibility (in a fun way), but in the end, was turned off by the Bigfoot enthusiast more than impressed. There was a trend where the presenters would bundle Bigfoot and paranormal/ wormhole "portals" space /time and such. Showing me a big undiscovered ape in the woods would be one thing (I for one think it would be pretty cool...but improbable), but the need to explain the ape by the existence of "interdimensional portals" just really lost my interest. Needing a really extreme concept to justify an already extreme concept just really was a buzz kill for me.
Finally, this thread got me thinking of John Edward- psychic tv show host, and how a friend of mine is a huge fan- so I googled "John Edward statistical" in an effort to see how statisticians would analyse his work. I found this link. There were others, I will probably go read them later. Wonder how much that we categorize as "supernatural" would fall under similar worldly statistical explanation.
https://web.archive.org/web/20110607014609/http://dir.salon.com/story/people/feature/2002/06/13/probability/index.html