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seen May 19 at 13:08
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May
19
comment Showing it is a joint probability density function
Thanks, how can things like $P[X=1/2,Y=1/2]$, $P[X=Y]$ and $P[x\le 1/2, Y\le 1/2]$ expressed using the integrals? I know that we con da it using the cumulative distributin function F(x,y) but I do not know how.
May
18
comment Showing it is a joint probability density function
Do you also have an idea for the cumulative distributions?
May
18
asked Showing it is a joint probability density function
May
13
accepted Order topology neighborhood
May
13
comment Order topology neighborhood
Ok, in the case of $\langle 1,1\rangle$: $a=0: (0,b]\times \{1\}$ $a>0: (a,1]\times [0,1]$ together with $\{a\}\times (0,b]$ I do not know if these are correct. The last thing is if could explain the cases $\langle x,0\rangle$ and $\langle 0,x\rangle$ a little bit more in detail.
May
13
comment Order topology neighborhood
First of all, thank you for your help. Secondly, why exactly do you use the notation $<>$ for elements in $Z$, is this simply to distinguish from the other intervals $()$ or is there a deeper meaning? Thirdly, in the two cases you consider in the end, why only for $a$ and not also for $b?$. Fourthly for $<1,1>$ I get $(<a,b>,<1,1>]$, but which cases do I need to consider now? Fifthly, what about $<x,0>$ and $<0,x>$, are these intervals special cases of the cases we already considered?
May
11
accepted Length of life of a fire detector
May
11
comment Length of life of a fire detector
Thank you very much, I posted also another probability question, may you can help with that also: math.stackexchange.com/questions/388414/…
May
11
comment Length of life of a fire detector
Thank you, so if I understand it correctly, 0.5 is the probability that there is no incident during the whole life of the fire detector, correct?
May
11
comment Length of life of a fire detector
Could you show me how to do that, I thought it can be done using the common density function, i.e $P(X>t)=1-F(x)$ where $F(x)$ represents the density function
May
11
asked Length of life of a fire detector
May
7
awarded  Caucus
May
7
asked Order topology neighborhood
May
6
accepted Homeomorphism $id_M:(M,\tau_d)\rightarrow(M,\tau_h)$
May
6
asked Homeomorphism $id_M:(M,\tau_d)\rightarrow(M,\tau_h)$
May
6
accepted Solution to functional equation
Apr
17
accepted Semi-formal language
Apr
17
comment Semi-formal language
Thank you, two questions. First, am I right you used the compactness theorem to state there has to be a finite subset $T_0$ of $T'$... ? Secondly, $T_0$ only consists of $\phi_k$ where $k<N$ ?
Apr
17
comment Semi-formal language
Ok I edited the neutral element. Well I have of the compactness theorem as a corollary of Gödel's completeness theorem. Still I would be very thankful if somebody could show me a proof using compactness theorem.
Apr
17
revised Semi-formal language
edited body