Update: As suggested in answer by Ecnerwal, I am changing the question a little bit. Instead of asking what type of rope light this is, I am now asking what would be the proper way to bring this "up to snuff"? I would like an exterior LED rope light here, controlled by an indoor light switch.
Original post below:
This rope light is outside and is hardwired to a switch that is inside. It appears to have two wires inside it, but the connection that you see is the only info I have to go from.
I want to purchase an LED rope light and attach it, but the various ones I have tried (bought from Home Depot) did not fit this connection. Would the best approach be simply to snip this connection off and then attach whichever rope I buy to the wire? My concern is making sure to have a weatherproof connection. I also don't have a lot of extra wire to play with.
The distance between the two black dots in the photo below is ~3/16". The diameter (measured in the direction through the black dots) is ~7/16". The measurement perpendicular to that (vertical in the bottom photo) is 3/8" - this is a little less because the end of the plug isn't perfectly round but rather has a flat edge on the bottom. It's a little hard to see in this photo unless you look closely.