I have a 2002 Chevy Impalah 100k miles that frequently won’t start. When I put the key in the ignition, I get lights, radio, and all electrical signs. But no sound from the engine. No matter how many times I try to turn the ignition, I get nothing. But then when I stop trying and then come back to the car 5 to 10 minutes later, the car will start with no problem. This seems to happen randomly–sometimes first thing in the morning, sometimes after being parked for an hour. I can go for days with no problems and then it will start happening (randomly) again.
I just brought the car back from a dealership–they couldn’t reproduce the problem and can’t find anything wrong with the car. Has anyone else had this problem, or can someone suggest what systems or parts might be malfunctioning?