Problem with my = 2006 Chevy Malibu.
V-6
Repairs for this problem = Nothing... We've been living with this issue.
Question = Occasionally (but more often recently) the full gauge will
drop to Empty and cause the low fuel warning to light; even with a full
gas tank.  There is no individual circumstance that seems to cause
the condition... But it has caused my wife to disregard the fuel gauge.

Last night she ran out of gas, so I had to retrieve the car from home.  
Is there a relay in the circuit that controls the fuel quantity indicator?
The most common reason for the problem you are having is that the
fuel level sensor is bad. This sensor is in the fuel tank, on the fuel
pump assembly.
The tank would need to come out, then the sensor replaced.
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