1, That's an NPN transistor.
2. If you connect an antenna to something it can pick up all sorts of stray signals particularly if a static generator, like a human being, is close to it or holding it. A length of wire is an antenna.
So I wonder if we touch the wire free standing ungrounded what's happening? I wonder if we were to just look at the base of a transistor as you drew it with a scope what would we see? What do you figure would be applied to the transistor base?
Some touch sensors took advantage of this property. If you chain several transistors to get a large amplification you only need your finger to trigger it.
It is picking up by capacitance, the AC field radiated by your house wiring. It is your body that is picking ip the radiation and holing the lead creates a small capacitor connecting it to the base of the transistor.
When the AC voltage picked up is sufficient, the reverse Zener breakdown of the base-emitter junction - about 6 V - charges this capacitance when the voltage goes negative and when it goes positive again, this is fed to the base in the forward direction and the current amplified to light the LED.
The LED is actually flashing at 60 or 50 Hz - the frequency of your power mains.
If you have ever plugged a "patch" cord (plug both ends) into the input of your audio amplifier and touched the tip of the other plug, you would be well aware of the AC field!