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Set Theory, Logic, Probability, Statistics

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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 27,661
As title, is this true ? (x,x]={x}?
Mar20-11 04:55 PM
SW VandeCarr
20 1,988
Suppose set A=\{\{\omega\}:\omega\in\mathbb{R}\}. What can you say more about it? In particular, on the \sigma(A) the...
Mar20-11 07:47 AM
5 2,950
As title: How do you relate P(F) with P(F') where F' is F's closure. Conditions: P(F)\neq 0 and F non-empty. ...
Mar19-11 07:10 AM
3 1,089
At time 3:50 through 4:35 in this --- --- video, I think there should be...
Mar18-11 05:01 PM
0 855
I read this article about non central chi square distribution...
Mar18-11 04:29 PM
Stephen Tashi
5 3,219
So if I want to prove. A=>B for all x. Does the following work? Suppose for contradiction, B is not true for...
Mar18-11 02:22 AM
Stephen Tashi
2 1,273
Wasn't sure of where the most appropriate place would be for this post. If you have a truth table, say for...
Mar18-11 02:10 AM
Stephen Tashi
1 934
I have a challenge for all y'all: Go out and do some research on the chances of winning a "Minute To Win It"...
Mar17-11 08:16 PM
0 1,594
Hi, Just curious as to what is the basis of the margin of error given in polls, e.g., in statements of the...
Mar17-11 03:34 PM
9 2,687
Have a question that I'm having some difficulties with, wondering if I'm on the right track: A machine has a 0.9...
Mar17-11 09:13 AM
0 838
I never understand the difference between 'Equally Likely Events', 'Mutually Exclusive Events' and 'Exhaustive...
Mar17-11 07:20 AM
11 2,346
Reworded version: I think I need to re-word as follow: Can a nonempty set X with P(X)=0? Suppose F to be a...
Mar17-11 05:08 AM
5 1,536
So on a different forum I go to someone said something about flipping a coin 1 million times, and that the probability...
Mar16-11 05:45 PM
8 1,799
Hello to all. Simple question but I'm getting the wrong answer here. Question: The random variable X is...
Mar16-11 09:26 AM
2 1,498
Reference:,_injection_and_surjection Consider the two sets X & Y connected...
Mar15-11 12:47 PM
5 1,122
Hi all, What is a good way to use replication methods for estimation? For a dataset with no design information,...
Mar15-11 10:33 AM
2 834
If there exists a real-valued measurable cardinal, then there is a countably additive extension of Lebesgue measure to...
Mar15-11 02:18 AM
2 1,908
Hey there! Is there any formula to determine the power of a cardinal number to another cardinal number? ...
Mar14-11 08:12 PM
4 1,967
Let X be a single observation from the density f\left(x;\theta\right) = \theta x^{\theta -1}I_{(0,1)} (x), where...
Mar14-11 07:35 AM
1 1,074
Hi, I am interested in the product of a Gaussian random variable with itself. If X is Gaussian then what is X^2? We...
Mar14-11 06:19 AM
3 2,643
I have five groupings of data measurements, each group with a different quantity of measurements. I want to see if...
Mar12-11 08:35 PM
2 9,120
So if I start with a multivariate distribution f(x,y), I can find the marginal distributions, the conditional...
Mar12-11 02:02 PM
4 3,030
Hi, This problem has been bugging me for while. I hope someone can explain it. 1) If I measure something with a...
Mar12-11 11:44 AM
SW VandeCarr
1 811
I'm trying to prove the following: if E is infinite set and F is finite set. prove that E and E U F have the same...
Mar10-11 09:41 AM
12 3,520
Hello, let's consider the set \Omega of all the continuous and integrable functions f:R \to R. Suppose we now take...
Mar10-11 09:21 AM
9 1,530
Prove the following theorem about the limit of the composition of functions. Theorem 1 Let f : A → R and g : B → A....
Mar10-11 09:04 AM
1 1,502
I fitted a nixed-effects model to a dataset from a longitudinal study in R. This is the R code I used: data <-...
Mar10-11 04:41 AM
0 864
\exists x \phi(x) \implies \exists x ( \phi(x) \land (\forall y \in x) \lnot \phi(y)), where \; y \; is \; not \; free...
Mar9-11 11:12 PM
7 1,265
Hello, I was wondering if anyone knew how to find a moment generating function about the mean. What I want is a...
Mar9-11 07:27 PM
2 1,437
Are all true statements provable? Is there an axiom or theorem that says one way or the other?
Mar9-11 11:33 AM
13 2,701
How would I evaluate the following: P(A|(B or C)) where B and C are two mutually exclusive events. I have scoured...
Mar9-11 07:56 AM
2 757
Would just like a hand with this question If X and Y are independent standard Gaussian random variables (that is,...
Mar9-11 07:34 AM
1 2,338
X is a random variable with a continuous distribution with density f(x)=e^(-2|x|), x e R How would you calculate...
Mar8-11 08:27 PM
3 1,647
I was asked this question about a week ago and I can't figure it out. I get confused in the numbers. This is not a...
Mar8-11 05:00 PM
0 510
I want to calculate E of the following continuous distribution having density: f(x)=e^-2|x| for x in the reals (x e...
Mar8-11 03:23 AM
6 1,389
Question: Given that any open subset E of the set of real numbers is a disjoint union of open intervals. Is E a...
Mar6-11 06:00 AM
1 805
I've been tutoring students at my college this semester, and came across this problem with a student: Show for all...
Mar6-11 02:54 AM
3 2,175
There are three prisoners A,B and C,one of them will be randomly picked by the king to be freed,two others will be...
Mar5-11 05:03 PM
1 1,125
I have some questions about the presentation of the P vs NP problem here. I'm quite new to this stuff, so pardon my...
Mar5-11 07:50 AM
3 3,556
Suppose you had a normal deck of 52 playing cards and lost a card. You then decide to draw a card from the...
Mar5-11 07:43 AM
2 1,627

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