First thing just listen to hear the fuel pump humming when you turn the key in in the first few seconds when it fails to start (might want to actually have a helper at the tank) if no sound then try swapping the fuel pump relay around to see if that gets it. Then

#1 Good battery voltage and good ground and connections at battery etc?
#2 No stored codes
#3 Is there spark when it won't' start?
If not then you need to determine why, pick up in distributor bad? Do the 2002's run a standard old disributor if so check reluctor gap it should be .008 and needs to be sat with a brass feeler gauge this seems to keep popping up lateley, or do the 2002's have a haleffect sensor? Now the distributor pickup or ASD as previously mentioned or even the crank sensor (mounted at the transmission mounting flange on the pass side upper portion)could cause this but will also effect the fuel system too. Some symptoms of the poor reluctor gap seem to be the vehicle will cut out or fail to start when hot.
If it has spark then it should start if you spray starting fluid in the air intake during cranking? If so suspect a lack of fuel pressure. regulator or pump going bad?

I am home sick so sorry if I don't make much sense today