You should hear the pump work when you turn the ignition on first thing in the morning. The system is pressurised and keeps this pressure for quite a while after engine shut-down. If you suspect pump problems, you will have to get the fuel system pressure tested.
Symptoms of a faulty pump are your normal running out of fuel things, like hesitation, coughing, farting, lack of power, things like that.
The fuel pump is in the tank, not a hard job to replace, don't know the price of one though.
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