Your new airbag is a single stage bag...If it was a dual stage, you would have separate a multi connector...what the pic shows is a single stage connector which is the yellow plug. The brown wire goes to earth.
What is important is what is the system on the car at the moment... If it's a dual stage you have a small issue of sourcing a dual stage airbag to fit, if it's also got the same yellow connector, then no problem. The dual stage connectors are brown, and are a completely different fitting. It is significant that cars are made to fit airbags, not the other way round - airbags to fit cars - The reason is that 99% of all airbags are made in India, and the mounting bolt positions are essentially standardised...ie. you can fit any airbag to any car...but not 100% of the time...some airbags do have different bolt mount positions, but these are exceptions rather than rules...It's a manufacturing thing...keeps the costs down..
In fact, on BMW's, the dual stage airbag has exactly the same bolt mounting positions as the single stage bag...the difference is that the airbag + detonator module is deeper thicker to accomodate the extra apparatus required.
As imple description of an airbag is:- closest to the driver / passenger is the bag, and behind the bag is the detonator, and the whole is housed behind the cover of the steering wheel or wherever else the airbag is positioned.
The detonator requires an electrical current to be activated....again the current required is standard on all airbags...on BMW or Ford or whatever...it's between 4 and 6 volts...Once the airbag connector has been disconnected, the detonator can be used as a cricket ball...ie you can do what you like to it, it will not explode etc...The detonator works when the accident / impact sensor closes an electrical circuit, and the current passes tom the detonator...it then super heats a bi-metal element which reacts with incredible speed to create a gas...this inflates the bag...but know this too, by the time you, as the driver impact onto an inflated airbag, as in an accident, the airbag has already started deflating..it's literally milliseconds...If you were to hit a fully inflated airbag, it would be like slamming yourself into a brick wall...the whole idea is that it's deflation is what cushions your body, not it's inflation.
Anyone that tells you airbags are dangerous, is speaking from ignorance...they are dangerous only when connected to the sensors that can set them off, and it is only the detonator which is dangerous if connected, and not housed as it should be within the area it is designated for. ie. If you were to have it connected , and were holding it in your hand when you were struck by another vehicle, you would probably lose your hand.
