Recent content by transmini

At the moment, I am accepted to a few universities for statistics and data science programs (I was told there were a fair number of data scientists on this forum and the question applies more generally as well). One of these programs is in Finland at the University of Helsinki. I'm incredibly...

Wait I THINK I may have figured it out. So we have, assuming ##S_1^2 = S_L^2## and ##S_2^2 = S_S^2##: $$P(F \in Rejection \space Region) = \alpha$$ $$P(S_L^2/S_S^2 > F_{\nu_S, \space \alpha/2}^{\nu_L} \space or \space S_S^2/S_L^2 > F_{\nu_L, \space \alpha/2}^{\nu_S}) = \alpha$$ $$P(S_L^2/S_S^2 >...

Homework Statement [/B] For reference: Book: Mathematical Statistics with Applications, 7th Ed., by Wackerly, Mendenhall, and Scheaffer. Problem: 10.81 From two normal populations with respective variances ##\sigma_1^2## and ##\sigma_2^2##, we observe independent sample variances ##S_1^2## and...

The book is Mathematical Statistics with Applications, 7th Edition - Wackerly, Mendenhall, Scheaffer. I just used the conditional expectation as that's what homework set it was assigned from. I don't think we've covered Poisson splitting yet.

Homework Statement Suppose that the number of eggs laid by a certain insect has a Poisson distribution with mean ##\lambda##. The probability that anyone egg hatches is ##p##. Assume that the eggs hatch independently of one another. Find the expected value of ##Y##, the total number of eggs...

Yeah, this is exactly as it was given, word for word. There are 2 or 3 parts before this, but they were all problems of the "find this expected value" or "find this variance" type. So they shouldn't be relevant. In my own opinion, I don't think this text is all that great because they frequently...

Homework Statement [/B] ##-1\leq\alpha\leq 1## ##f(y_1,y_2)=[1-\alpha\{(1-2e^{-y_1})(1-2e^{-y_2})\}]e^{-y_1-y_2}, 0\leq y_1, 0\leq y_2## and ##0## otherwise. Find ##V(Y_1-Y_2)##. Within what limits would you expect ##Y_1-Y_2## to fall? Homework Equations N/A The Attempt at a Solution...

This may be better suited in the academic forum, or possibly not even the normal type of question asked, but I was just judging based on other similar posts. I just graduated from college this past spring with a BS in Applied Mathematics and a BS in Physics, as well as a minor in computer...

For a lab I just finished this past week, we were working with the hall effect and finding hall voltages. The metals used were p-germanium and n-germanium semi-conductors. I understand why in n-germanium the hall voltage is positive and p-germanium is negative assuming negative charge carriers...

I totally forgot I asked this, whoops. But that's what I thought. I asked someone else I work with as well and they thought the same thing. I'm not sure what the person's professor was thinking then. But as far as 2 victims, the trial conducted with the first is the exact same as the second. But...

I'll start off by saying this is technically a coursework question, just not mine, nor of the present. I work in a tutoring center and it's been a while since I have taken stats and don't quite understand this person's professor's reasoning. The general idea of the question was that there was a...

Homework Statement Find the divergence of the function ##\vec{v} = (rcos\theta)\hat{r}+(rsin\theta)\hat{\theta}+(rsin\theta cos\phi)\hat{\phi}## Homework Equations ##\nabla\cdot\vec{v}=\frac{1}{r^2}\frac{\partial}{\partial r}(r^2v_r)+\frac{1}{r sin\theta}\frac{\partial}{\partial...

Whether it justified on fundamental logic or not, we were still told that we couldn't use it, and that's where I was running into problems.

Though I guess technically we were trying to prove a*0=0 using the at then unproven -a=(-1)*a, so how could you start the proof without beginning at a*0=0? Since you mentioned it not being an axiom.

I know the first line isn't an axiom, but it was something previously stated, and I made it made starting point. However, that answer makes a lot of sense. I'm not sure why this is what was mentioned in class, rather than some make a=1 and some other stuff that didn't quite make sense. Thanks...