I WAS APPROACHING A LIGHT INTERSECTION AT 50MPH. WHEN LIGHT CHANGED TO RED I TRIED TO APPLY BRAKES ABOUT 1,000FT FROM INTERSECTION. CAR DID NOT SLOW DOWN AND BRAKES APPEARED NOT TO BE WORKING. I VEERED INTO MEDIAN TO AVOID STOPPED TRAFFIC IN FRONT OF ME AND THEN ENTERED INTERSECTION CLIPPING THE BACK OF ANOTHER VEHICLE. LEXUS DEALER REPORTED NO DEFECT WITH BRAKES. THIS VEHICLE HAD BEEN STORED IN A FLORIDA GARAGE AND IT WAS THE 1ST TIME IT HAD BEEN DRIVEN IN SEVERAL MONTHS. THIS HAS NOT HAPPENED AGAIN TO THIS VEHICLE TO MY KNOWLEDGE. *TR