Explorer alarm goes off randomly

There can be many things causing this. In my experience a bad battery can short while the vehicle is parked. Its easy to have tested and Autozone or Oreillys will test your whole vehicle free.

Next possibility would be dirty Battery cables or loose battery connections to the Ground wire. Of course, some vehicles have additional triggers for Glass breakage and motion. Sometimes on cars with Autoload leveling, the Air pump will work to level the car and the Alarm will sense the current draw and vibration and go off.

These Alarms are not foolproof. You have a "Panic" button on your remote. If another person has a device casting this signal your Alarm will pick it up and activate. Your Dealer may have testing equipment for your system to correct the sensitivity of the unit. I hope it is simply a bad battery and your problem will go away with a new one.