So im doing a little project, and I have various tolerances for various parts. All these tolerances add up, and if the values are too large, what my machine is trying to do won't work.

I know one way to analyze this is simple to take the greatest error and add it, but the chances that each error will contribute is maximum amount to the total error is unlikely.

Is there any way to add this up and do some standard deviation stuff or anything so that I get a distribution of how likely the sum of all these errors is going to get?

I can easily just take the standard deviation of all the individual errors, but I'm not sure what that tells me in this case, My experiance with statics is rather limited, and consists mostly of my knowledge from grading curves, so sorry if this post makes no sense at all

. I'd appreciate any help or links to any wikipedia articles or whatnot that may be able to help me.