Recent content by number0

You can try to use the Poisson distribution find the solution from there. In other words, multiply your summation with the e^(-x)/(e^(-x)). Move the denominator out. We know that the summation(e^(-x) * x^n/ n!) must be 1 since it is a distribution (Poisson). So the answer is 1/(e^-x).

Homework Statement Show that the area of two triangles with the same base and height can be approximated arbitrarily closely by the same set of rectangles, differently stacked. See attachment for picture! Homework Equations Use method of exhaustion (NOT proof by exhaustion). The Attempt at...

Sorry, but I already got your answer (see imagery)... it's just that I do not know what distribution the conditional distribution follows...

Homework Statement See uploaded imagery. Homework Equations The Attempt at a Solution See uploaded imagery. I know that the distribution has something to do with the 1-dimensional Ising model being sampled via Gibbs sampler method, but that is all I know. Anyone have a...

Homework Statement I uploaded a picture to describe the problem. Oh yes, if anyone is wondering, the constant "c" = Var(R2) = 0.0046 . Homework EquationsThe Attempt at a Solution I uploaded my attempt at the solution. However, my method took me forever to get the answer, if I tried to do...

Thanks for your time lanedance, but I am still stuck!

Homework Statement I do not know if this is the right forum or subforum for this kind of topic. So if it is not, I apologize in advance.Symbolize the following sentence: Given that some mean elf will bite and some friendly one will too, the mean ones will bite whether or not provoked but the...

The book specifically defined X as bounded as the following: |X| < M < ∞ . Here is the whole question, word for word: Show that if a random variable is bounded—that is, |X| < M < ∞—then E(X) exists.I do not know about the range though.

Homework Statement Show that if X is a bounded random variable, then E(X) exists.Homework Equations The Attempt at a Solution I am having trouble of finding out where to begin this proof.This is what I got so far: Suppose X is bounded. Then there exists two numbers a and b such that P(X > b)...

Thank you so much :)

I do not know if I did it correctly, but in my solution, I got the boundaries to be 0 < X <= 1. Is this correct?

Homework Statement If U is uniform on [−1, 1], find the density function of U^2. Homework Equations f(u) = 1/(b-a) The Attempt at a Solution I actually solved the problem already, but I am having trouble defining what the boundaries are for U^2. My work is uploaded in paint...

You could use the binomial. I should've done this a second time just to make sure; but I just used both the binomial and negative binomial distribution, and I reached the same answer. The first time I did it both the probabilities were way off of each other. Nevertheless, what do you mean by...

Homework Statement Two teams, A and B, play a series of games. If team A has probability .4 of winning each game, is it to its advantage to play the best three out of five games or the best four out of seven? Assume the outcomes of successive games are independent.Homework Equations...

Hmmm... I never thought to break up the problem into two. It should be much easier now. Thanks.