The in-game description of Khajiit says they make "excellent thieves due to their natural agility . . ." However, after reading the UESP page on agility, it does not appear that agility affects thievery in any way.

I once read somewhere that agility affects pickpocket success, but the UESP does not say anything about this. Does anyone know whether agility affects pickpocket success, sneak detection (especially when picking up items), or lockpicking?

Also, does anyone know whether luck affects any of those things beyond the behind the scenes skill boost to security and sneak you get from luck? The UESP page on luck makes it sound like luck doesn't do much of anything apart from the modest behind the scenes skill boost to 19 skills.