Recent content by Roni1985

But you are using the fact: "exponential growth (blank^x) grows faster than x^blank (whatever that is called)" I want to prove it. how do you see that e^x grows faster then ex^(e-1) ?

Thanks for the reply. How can you prove it with limits? lim x-> inf and then lim x-> -inf ?

Homework Statement which increases faster e^x or x^e ?Homework Equations The Attempt at a Solution My attempt was taking the log of both, assuming it doesn't change anything (is this assumption correct?) x*ln(e) ------------------------ e*ln(x) now I took the derivative 1...

Well I was thinking that now its uniformly distributed from 1 to 2... isn't it? EDIT: Oh right its still uniform from 0 to 1... omg... I'm so rusty :\ Thanks.

Hey, thanks for the answer. Is 1+y^2 a typo in your answer? so adding a constant to a uniform r.v. doesn't change it's distribution?

Homework Statement X & Y are independent r.v.s with uniform distribution between 0 and 1. Z= X/(1+Y)^2 find E[Z]. Homework Equations The Attempt at a Solution Here is what I did. E[Z]= E[X]*E[1/(1+Y)^2] E[X]=1/2 E[1/(1+Y)^2]=? I think that once I know the distribution...

I see, I guess the fact that the distribution changes, confused me... Thanks.

Homework Statement Xi ~ U(80,120) find the E[X1+X2+...+Xn]=? Homework Equations The Attempt at a Solution Why can't I do this?: E[X1+X2+...+Xn]=n*E[X1] and just find the expected value? Is that because the distribution changes as we increase the number of elements of...

Ya I'm a lil rusty it's sqrt(20)*20 and the prob is just .95

oh shoot, that's the variance I guess. so, SD is just 20. But, now I'm thinking maybe I should use the gaussian pdf...? EDIT: I used excel's =NORMINV(0.975,1200,20) And I get 1240 both ways... so I think its good. But if wanted to use the gaussian pdf, how would you calculate it?

Homework Statement There are 20 customer locations, the demand in each location is normal with mean 60 and SD 20. All 20 locations have independent probabilities. The goal is to cover all of the demand in a month at least 95% of the times. What's the minimum total inventory the company should...

Homework Statement . . . . (c) Find a feasible solution that is not basic. (d) Find a feasible solution that is not an extreme point: justify your answer by using the definition of extreme point. Homework Equations The Attempt at a Solution The whole question is not that...

Oh, I see it now. Thanks very much for the explanation.

When can it not be true? if I understand it correctly, there is always a 1-1 mapping from A to A. Thanks.

lol, I am sorry, I never took topology and the notations are kind of foreign to me. Okay, forget 'R'. '~' = equivalent A is a set and B is a set. I am given a definition, "if there exists a 1-1 mapping of A onto B, A~B". Now, when this is true, the following properties must be satisfied...