Cutlass overheating problem please help...!!!

I have 95 Cutlass Supreme...I have my Low Coolant light on or blinking for awhile but everytime I check its always full even in the radiator..so I dont have coolant problem but the light is on...plus car is not overheating..temp. is always around 200...lil bit down lil bit up never close to red...but tonight car didnt start and hot light came on but the temp. was still lil bit up 200..can u tell what could be the problem and how can I solve it..

We had a 92 Lumina that did the same thing. There is a coolant level sensor that plugs into the side of the radiator near the top on the RH side. Sometimes this sensor gets gunked up and gives a false reading. The fix is simple, unsnap the wire clip that holds the sensor in, pull it out and clean the end that is immersed in the radiator. That should cure your problem. If not, got to the Auto Parts store and buy a new one.