Recent content by Runty_Grunty

I listed the question word-for-word in the opening post, so it doesn't say anything about continuity. I guess I could assume it is continuous, but I don't know how relevant that would be. I'm also not sure how that bit on "positive and negative function values" is supposed to be implemented...

Homework Statement Suppose that f(x) is a bounded function on [a,b]. If M, M' denote the least upper bounds and m, m' denote the greatest lower bounds of f, |f| respectively, prove that M'-m'\leq M-m. 2. The attempt at a solution (these are the only things I have; most are properties found...

I know assignment questions and such aren't meant to be placed in here, but there's no spot in the "homework section" that's meant for statistics. Move this to the appropriate section if necessary; I couldn't find it. Here I have an image of the questions we are meant to answer. The...

Thanks, I was wondering what was meant by that "summing" part.

I've got a pretty good answer to this one already, yet I'd like to see how solid it is. I'll list the question first in quotes. Here's my work below. I credit http://arxiv.org/PS_cache/arxiv/pdf/0909/0909.1685v4.pdf" for the answer. X and Y are independent if and only if...