many manufacturers have an 8 dead pixel policy. there might be one or two manufacturers that guarantee no dead pixels, but I'm not sure which ones do (and there's probably aren't many)
also, here's a note of clarification...
a pixel that is always black is considered "dead" whereas a pixel that is a color (either red green or blue) is only considered "stuck"
as far as replacement goes, dead + stuck = the total for warranty replacement, but stuck pixels may not be a lost cause.
there are some weird remedies available on the internet for fixing stuck pixels if you do a google search...it can't hurt, right!
some involve putting pressure and "massaging" the area with the stuck pixel through a towel or soft cloth to try to push some of the liquid crystals into that pixel where they belong.
other remedies involve reapidly flashing colors over the pixel for a few hours to try to "shock" it back into changing I guess.
none of them worked on my monitos (I only have 1 pixel stuck on green at the very edge of the monitor so it could be worse), but others on the internet have reported some success. do a google search...some of that voodoo may work for you!