8.7.3 Can you answer these questions?

8.7.3.1 Enumerating labeled graphs on n vertices
8.7.3.2 How to find conditional probabilities for simple 4 categories problem?
8.7.3.3 How can I Find the parameters a,b,c such that f(x)0 holds true for all real numbers?
8.7.3.1 Enumerating labeled graphs on n vertices

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=264432

I'm trying to enumerate the labeled graphs on $n$ vertices having at most $e$ edges. I thought  GraphData /@ GraphData[n]  and then filtering by edge count would do ... 
[graphs-and-networks] [combinatorics]
 
asked by Maruney https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=85330 Score of 1
8.7.3.2 How to find conditional probabilities for simple 4 categories problem?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=264535

Imagine you are give the following problem: 
 
There is a 50% chance of diagnosing an illness correctly as "Known" instead of "Unknown". 
There is a 50% that available treatments &... 
[probability-or-statistics] [distributions] [conditional] [bayesian]
 
asked by Luxspes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1689 Score of 2
answered by Luxspes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1689 Score of 0
8.7.3.3 How can I Find the parameters a,b,c such that f(x)0 holds true for all real numbers?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=264459

Given the function $f(x)=(1-2 a) x^6+(-2 a-2 b+2)x^5 +\left(-a^2-2 b-2 c+1\right)x^4 +(-2 a b-2 c+1)x^3 +x^2 \left(-2 a c-b^2+4\right)+x (3-2 b c)-c^2+1$, 
$a,b,c$ are some undetermined coefficients. ... 
[polynomials] [inequalities]
 
asked by lsxpqr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=85338 Score of 2
answered by user64494 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7152 Score of 0