1995 Mazda Truck intermittent start

It normaly does crank over. I incorrectly said the batt was dead twice. It was just the one time when it died at the red light that it would not turn over or start without a jump. Just like the batt was dead. (Sorry). That one time was when using the air conditioner which I think could drain the batt if the alt was not working. Hence my thought of a possible bad alt.
While trying to check it out I can start it, and turn it back off 3-4 times in a row and then the next time it will not start. Then after trying several tries it will start. While trying this it is cranking over at what seems to be normal speed even when it does not start. I was wondering about the pcm relay or fuel pump relay. Can they stick open and then start working again or do they just go bad and stay bad.
I will have the system checked at auto zone for the batt and alt as suggested. Pehaps I should have the fuel pressure check also? Dont know if a fuel pump going bad will work and then not work or if they just stop working all of a sudden(?).

I have had the same problem with a B4000 in the pass and found it to be intermitt relays. I would be driving down the freeway and it would just cutout. I change a few fuel pumps thinking that was the problem. I also thought it was a bad key switch. It took a while to isolate the problem. In the end it was a bad relay and truck has been fine for 4 yrs since change out.

Thanks COSMORAT.
Sure worth a try, and they are cheap enough to change out without worrying about the cost to try.

Thanks! Will do.