inaccurate reading on fuel gauge. does the fuel pump slowly go out.dies while dr

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1995 intrepid no start sometimes until I get the sun shining on it with hood up for 10 min then it starts...(no joke). Then after driving 1/4 mile engine shuts off. I park it (on side of road) and then starts right up and is good rest of day. I do need to replace my battery..just a fyi. Have replaced coil and plug wires also