Purchase a window sealing kit. The kit should include shrink wrap plastic which people often use to keep their homes warm in the winter.
Locate the bare connections where you'd like further insulation. Examine the areas where the wire is exposed. Disconnect the power or signal running through the electrical wires before doing any work.
Wrap the plastic shrink wrap around the bare portion. Make sure to leave the end uncovered so the connection is not cut off.
Cut off excess plastic with a pair of scissors. Hold the wrap in place so that it is tight around the wire.
Plug in your hair dryer and set it to medium heat. Blow the air onto the wrap until it shrinks tightly around the wire.
Repeat the process for any other exposed wires. Always leave the very end of the wire uncovered so as not to hinder the electrical processes.