Recent content by The_Iceflash

^Thanks. What would I do to get P(X=2)...P(X=5)? I'm confused on what to do for the other faces.

Homework Statement Roll a dice 4 times X = smallest face observed P(X=6) = 1/1296 Find: P(X=1) P(X=2) P(X=3) P(X=4) P(X=5) Homework Equations N/A The Attempt at a Solution [PLAIN]http://img145.imageshack.us/img145/2773/62b19dc3faac4cc4a989485.gif The issue is that the...

So, \sum_{i=1}^n x_i must be equal to n\overline x correct? The sum from the first sum is n, correct?

So if I put the \overline x 's in front = \sum^{n}_{j=1}x_j^2 - 2\bar{x}\sum^{n}_{j=1}x_j + \bar{x}^2\sum^{n}_{j=1} and rearrange it I get = \sum^{n}_{j=1}x_j^2 +\bar{x}^2\sum^{n}_{j=1} - 2\bar{x}\sum^{n}_{j=1}x_j My instincts tell me to factor out the \overline x but I don't see how that...

Homework Statement Prove that the sample variance of a sample is given by S2 = \frac{\sum^{n}_{j=1}x_j^2 - \frac{1}{n} (\sum^{n}_{j=1}x_j)^2}{n-1} Homework Equations N/A The Attempt at a Solution For my purposes it is sufficient to show that: \sum^{n}_{j=1}(x_j -x_j^2) =...

Any help on the tables from anyone would be greatly appreciated. This is what I'm thinking for the G/N table: __|N Na N| N Na Na| Na N I found only 2 cosets and one is the Kernel and the other one I called Na due to a being one of the elements in it.

So, the f(x)'s i receive are 1 and -1. Oh so that's what my image should be. I get that now. Thanks.

Homework Statement Consider this group of six matrices: Let G = {I, A, B, C, D, K}, Matrix Multiplication> I =\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix} A =\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix} B =\begin{bmatrix}0 & 1\\-1 & -1\end{bmatrix} C =\begin{bmatrix}-1 & -1\\0 &...

Homework Statement Let G and H be two groups. If f: G \rightarrow H is a homomorphism, a \in G and b = f(a). If ord(a) = n, ord(b) = m, then n is a multiple of m. (Let e_{1} be the identity of G and e_{2} be the identity of H) I have to prove that n is a multiple of m. Homework Equations...

Ok I understand that. Thanks. One question though, can A or B be considered a conjugate of either x-1Ax or x-1Bx respectively?

Homework Statement Consider this group of six matrices: Let G = {I, A, B, C, D, K}, Matrix Multiplication> I =\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix} A =\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix} B =\begin{bmatrix}0 & 1\\-1 & -1\end{bmatrix} C =\begin{bmatrix}-1 & -1\\0 & 1\end{bmatrix} D...

Please? Anyone?

Homework Statement a) Find the intervals of unit length on which f(x) = 2x^{4}-8x^{3}+24x-17 has it's zeros. b) For each of the following starting intervals, tell which of the zeros of f(x) will be found by the bisection method associated with the proof of Bolzano's THeorem. (Label the zeros...

I stuck in e^x for f(x) and got e^x. Is this supposed to represent something?

Homework Statement Show f(x) can be expressed as the sum of E(x) and an odd function O(x). f(x) is defined for all x (assume domain D symmetric about 0) f(x) = \frac{f(x)+f(-x}{2} Then: How does it look if f(x) = e^x? Homework Equations N/A The Attempt at a Solution So I...