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Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
micromass
1 31,765
i read a little bit of the syllabus in my university graph theory course and i just wonder if the the kirchoff theorem...
Jan31-10 09:44 AM
smstry
1 3,589
if you go down to the section called "do they always exist?" you'll find a venn diagram for 6 sets:...
Nov23-09 10:43 PM
blkqi
1 2,082
Hi All, I'm doing a study that looks at how children think probabilistically while playing battleship. I'm trying...
Nov22-09 03:21 AM
bpet
1 1,822
In many board games points are counted. Does some know the result to the following question? Assume that in each...
Nov26-09 10:47 AM
zli034
1 1,088
How can I do this? Let X,Y r.v., \mathbb{E}(X|Y)=Y and \mathbb{E}(Y|X)=X. Proove that X=Y a.s.
Nov30-09 08:20 PM
bpet
1 1,011
I am trying to create a calculator that let's a user provide the standard deviation, mean, frequency at that mean, and...
Dec2-09 05:57 PM
bpet
1 1,818
1,000,000 raffle tickets 9 prizes Holding 1 ticket odds of winning 1 in 111,111. What are the odds of winning...
Dec4-09 05:23 PM
grief
1 3,052
I just started learning some basic measure theory. Could someone explain the difference between \overline{F(A...
Dec8-09 07:57 AM
g_edgar
1 1,086
Hi, I was just wondering, if I have a set (denoted by A)of natural numbers, 1,2,3,4,5,6,7,8,9,10 and each...
Dec8-09 09:39 PM
grief
1 1,043
If I have a set of Probability distributions on a product space with marginal constraints, is there any way to (how...
Dec12-09 09:51 AM
Edwinkumar
1 1,876
What is the difference between Random Signal and Random Process? A random process does not necessarily imply and...
Dec12-09 04:39 PM
mathman
1 1,499
I'm lost no how to find the cutoff rejection region and which table to use? This is an example, Data ...
Dec15-09 07:42 AM
statdad
1 8,794
who can help me? ı want to prove this If f : X → Y is injective and A is a subset of X, then f −1(f(A)) = A. but...
Dec23-09 03:25 AM
CompuChip
1 1,000
Let's say that a is an ordinal and it's cantor normal form is: a = {\omega^{\beta_1}}c_1 + {\omega^{\beta_2}}c_2 +...
Dec23-09 08:35 PM
JSuarez
1 1,627
How does one go about proving that C_n (Catalan number) is the number of ways to tile a stairstep shape of height n...
Jan12-10 11:46 PM
techmologist
1 1,923
In many statements in probability, there is an assumption like bounded fourth moment, so is there any random variable...
Jan7-10 07:29 AM
bpet
1 736
I want to know the name of one little phenomena to learn more. I don't know how to explain it clearly, so please try...
Jan11-10 07:47 PM
frustr8photon
1 1,002
For this question, i already solve the part a and part b. For the part c, i try to solve it but i cant get the answer...
Jan10-10 04:08 AM
tiny-tim
1 1,859
if the joint p.d.f of x,y is given by f(x,y)= a |x-y| ,0<=x,y<=1 f(x,y)= 0 ...
Jan12-10 06:28 AM
HallsofIvy
1 790
Hi everybody, anybody can provide me with some guidelines to interpret box-percentile plots? I am so confused :(. ...
Jan17-10 08:31 PM
EnumaElish
1 1,688
I'm really lost on where to get started here. It's a two state system, one with energy 0 and the other with energy ε....
Jan19-10 03:56 PM
mathman
1 1,409
A total of r keys are to be put one at a time, in k boxes, with each key independently being put in box i with...
Jan22-10 07:27 AM
bpet
1 2,579
I am running a test where I start by preforming a calibration to fit the following linear line V= a * X + b ...
Jan26-10 05:43 PM
EnumaElish
1 1,113
I was trying to prove that the sigma algebra generated by the set of open intervals is the same as the sigma algebra...
Jan28-10 05:03 PM
Landau
1 7,308
Suppose interest is given at 12% annually, compounded once a year. At the end of the year we will have (A = starting...
Feb1-10 09:36 AM
jambaugh
1 836
Dear Community, I am faced with a challenge. I can't quite grasp the implications of this. I schould've listened...
Feb5-10 11:13 AM
EnumaElish
1 1,246
Hi, I have a question about standard errors in the context of this problem. Any help would be greatly appreciated: ...
Feb5-10 04:41 PM
EnumaElish
1 875
Here goes: If F is a probability distribution function and /phi is its integrable characteristic function. If the...
Feb7-10 04:10 PM
mathman
1 747
If \overline{_}X1 and \overline{_}X2 are the means of independent random samples of size n1 and n2 from a normal...
Feb8-10 11:28 PM
Mandark
1 2,851
Hey all i struggling to understand, these concepts. would some explain to me the relationship and differences the...
Feb19-10 04:18 PM
mathman
1 3,071
1) Distribution is a uniform distribution on the interval (Ө, Ө+1) Show that Ө1 is a consistent estimator of Ө....
Feb13-10 05:29 PM
statdad
1 3,993
Hi everyone. I was going through a proof of Wald's equation, where it was claimed that if {S_n} is a sequence defined...
Feb17-10 05:45 AM
bpet
1 850
i am wondering about how it is possible compute the probability of win, loose or draw in football game or any other...
Feb23-10 07:03 PM
zli034
1 1,559
In the Chi-square test, my textbook says that degrees of freedom are the number of independent variables minus one so...
Feb23-10 06:45 PM
zli034
1 1,597
Hi everyone There is a question which I find very hard to solve and it goes like this.. A symmetric coin with...
Feb22-10 03:05 PM
mathman
1 1,642
Hi, I need to translate some conditions/statements into mathematical notation but my mind is drawing blank right...
Feb24-10 05:55 AM
CompuChip
1 922
Hello, I am having difficulty approaching this problem: Assume that K, Z_1, Z_2, ... are independent. Let K be...
Feb24-10 09:13 AM
torquil
1 3,735
Let X be the set X=\left\{x_1,x_2,...,x_n\right\}, where each x_i is a Bernoulli random variable and P be the set...
Feb26-10 01:22 PM
EnumaElish
1 1,970
what is the differenae between natural and real numbers
Feb28-10 09:59 AM
CompuChip
1 703
Suppose you have multiple independent Bernoulli random variables, X_1,X_2,...,X_n, with respective probabilities of...
Mar3-10 04:41 PM
mathman
1 3,861

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