Recent content by matrix_204

This is the problem that I'm doing: Suppose that Z is a standard normal random variable: i.e. Z~N(0,1). a) Find the distribution of X=|Z| . b) What is the density of X? c) Find the distribution of Y=X^2 d) What is the joint distribution of X and Y...

Well when I draw the graph for |x| i get like a graph like this starting at the origin \|/ , and I'm not sure how to find the inverse or by using the horizontal line test? is that like one-to-one function type?

I'm preparing for my Statistics and Probability exam tomorrow, and I have a quick question: What is the inverse of h(y) where y=|x|. (just to make sure, h'(x)=1, right?)

So for example, all x such that x is not in (A Δ B)= (A-B) U (B-A)! What I was asking is what's (A Δ B)^c= ?? Because in the textbook it's not given and I got stuck for one of the problems before I could proceed.

Yes, I know, but how do I find the complement. Thats where I'm stuck. What is the complement equal to?

What does this mean, (A Δ B)^c? And what does it equal to? I know that (A Δ B)= (A-B) U (B-A).

Could you please show me how you got that? I understand that it's correct but I just want to know how you got that.

Yes that is also given in the question but I can't make them equal. Like using your example, it doesn't equal. So does that mean it doesn't equal? I'm stuck at the same place as I posted in my first post.

Hi, I have a quick question. What does the triangle (Δ) mean? I was asked to prove this, but since it's not told in the book and I just wana get an idea of what the Δ means. Show that A Δ B^c = A^c Δ B Also after trying to prove the two sides, I got stuck here... For A Δ B^c...

Speaking about the Fundamental thm of calculus, i was wondering why is it that for F(x)= int from 0 to x for f(t)dt, the function F is the constant function 0?

How do u find an explicit formula when given an integral of a function. For example, the integral from 0 to x of tg(t)dt=x+x^2, how do u find the formula for g(t)?

Convergence tests? I was having some trouble deciding which convergence tests to use for some of the following problems, as i have about a day or less to work on them. So please just tell me which convergence tests are easiest in doing these problems and some tips as sum of them require more...

could someone check this proof for me and tell me what is missing as i m not sure if i know anymore:(problem stated above) Proof: If a_n ->L and b_n ->L for some L, then for any eps>0 there is a K such that for all n, if n>K, then |a_n - L|<eps/2 and |L - b_n|<eps/2. Since n>K, |a_n - b_n|</=...

i think this problem is in Spivak 3rd edition. Its perhaps knowns as the best and hardest calculus books, specially analysis. I don't know if its helpful but u gota have some resources when doing this course. Neways, i remember somestuff when i did this problem. Let [c,d] be an interval in...

i had this problem in my book that i wasn't able to do. I kinda had the idea of what it involved but just wanted to clear it up with you guys. So the problem is: Suppose that an ->L and bn ->L. Show that a1,b1,a2,b2,... converges to L. So here it seems to me like i can obviously define a...