Sounds electronic as opposed to mechanical, based on the OP.
Could be the shielding for the electronics compartment - not sure how good the stock shielding is on a 'ray.
Or maybe one coil from the humbucker pickup got somehow disconnected. BCS a quick soldering repair. (Or even better if it's the 5-string maybe it's just in single-coil mode.)
Also, if you have a lamp dimmer running close by, that's going to make just about anything buzz like crazy when you take the fingers off the strings. (Simulates gig conditions with neon beer signs behind the stage.

)
That's all I got - hope you get to the bottom of it quick & cheap!
