Well, I believe it actually somewhat depends on the motion.
There is a way to test for it. You calculate your 1RM by actually doing it and then you load up 80% and see how many reps you get. There are ranges that supposedly indicate fiber composition.
Red fiber type can be better for bodybuilding I suppose although bodybuilders can benefit from white fibers that allow them to train heavy and I dont think anyone is PURELY one type. Red fibers are also good for endurance and as a workout lasts longer you can create more red fibers and vice versa. You do have some control over it and do phases to convert to white fibers by emphasizing power exercises and not training to failure. If you are moving the weight slowly then it is being moved by red fibers because the white fibers have a very low capacity for endurance. I should qualify this as slowly for higher reps. because of the nature of 1RM and the like, they do recruit a lot of white fibers and by trying to move the weight as fast as possible, you can recruit more.
Just for your info, there are actually two types of white fibers, type 2a and type 2b.
There is a nice summary here http://www.coachr.org/fiber.htm
that I just googled.
And as far as raising your 1RM, dont look at it like you CANT do it. It just means you may get more out of training a certain way. You should just train the way that gives you the best results for your goals.