Recent content by darkestar

Can anyone look at my proof on the attached pdf and tell me if it is correct or on the right track?

Any suggestions?

Homework Statement Included in the pdf Homework Equations Included in the pdf The Attempt at a Solution Please take a look at pdf for my attempted solution. I would like to know how if it makes logical sense or if I should change something. Thanks!

Thanks, although I already knew that. I was hoping for a different explanation because I tried to simply put those tags in but it's not working.

Hello! I just finished typing up my first Latex document for a proof I worked on. Now, I'm having trouble posting it on these forums. Here is the source code... \begin{document} $f : \mathbb{R} \Rightarrow \mathbb{R}$ is odd $\;\Longleftrightarrow \;f(-x) = -f(x) \;\forall x$. Show that...

I'm not really sure how I should be more explicit for the proof.

So I can define M to be max{ |c|, |d| }. Therefore, |a_n| <= M. Would this be all that I need to write for the proof in that direction?

For the second part I let c = -d because I was trying to end with a result such as the sequence being in the interval [-M, M]. If I leave it as the interval [c, d] then I'm not sure how to end with the conclusion that every element of the sequence is less than a number M.

Homework Statement Show that a sequence {a_n} is bounded if and only if there is an interval [c, d] such that {a_n} is a sequence in [c,d]. Homework Equations A sequence {a_n} is bounded provided that there is a number M such that |a_n| <= M. The Attempt at a Solution...

I would like my account to be deleted/removed from the forums. I would appreciate if someone could assist me with this. Thanks.

Here is my work for part a. I got the answer without finding the pdf for X+Y. When I tried using pdf for X+Y which I called Z, the answers weren't matching. [PLAIN]http://img338.imageshack.us/img338/1226/partaprob.jpg

I calculated the mean of X+Y to be 1. The variance resulted in 1/6. I am not getting the same answer when I use the density function for Z that I tried calculating. Even when I use the limits from 0 to 2, I get a different mean and variance is negative which tells me I am wrong somewhere. I'm...

Homework Statement 8. Suppose that X and Y are independent continuous random variables, and each is uniformly distributed on the interval [0,1] (thus the pdfs for X and Y are zero outside of this interval and equal to one on [0,1]). (a) Find the mean and variance for X+Y. (b) Calculate...