please help b4 warranty expires - Prob starting my 02 path

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my pathfinder wen i start it sometimes hesitates for 2-3 seconds before it finally kicks in and starts up, it sounds like its trying to crank during those 2-3 seconds

but this only happens 4 out of 10 times , its been hot out here in NY so its nothing to do with cold, my warranty is going to expire in 15 days and the stupid nissan service guys said they cant find nothing wrong with car, i think they just saying that to make me wait till it gets worse n loose out on my warranty , i just bought the truck n dont know bout its past history, bought it from a nissan dealer , now it has 40k

please if anyone could help me out i would appreciate it , thanks
sal