The random misfire DTC indicates multiple cylinders are misfiring or the PCM cannot identify which cylinder is misfiring.
The catalytic converter is designed to convert harmful emissions, produced by an internal combustion engine, to less-harmful elements: H2O (Water), CO2 (Carbon Dioxide), and N2 (Nitrogen).
Direct fuel injection, also known as GDI in gasoline engines, is a system where fuel is sprayed under high pressure directly into the combustion chamber of each cylinder.