Just bought an 01 300ex, and doing some maintenance on it (brakes, tires, alignment, valves, etc). It runs pretty good, but has a weird quirk. If I let it sit and idle, it will randomly shut off. Hit the button, it fires right back up. It does not do this while riding.

I have a carb rebuild kit on the way, so that may be part of it, although I doubt it.

Any thoughts?