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2d
comment Dermining stable and unstable manifolds - is my result ok?
Stable and unstable manifolds of equilibria of 1D differential equations? What for?
2d
comment Given probability distribution $f(x)=2-bx$ find $b$ and range for $x$
Actually, any interval $(0,c)$ with $c\geqslant1$ supports the PDF $f_c:x\mapsto f_c(x)=(2-bx)\mathbf 1_{0<x<c}$, for $b=2(2c-1)/c^2$. Thus, the solution in this post, which is simply $f_1$, is far from being unique.
2d
comment The “how many pieces do you have buy on average” problem, a markov problem?
Yes the number of different sets one gets after one bought k sets is a Markov chain on {0,1,...,n} with transitions from k to k and from k to k+1 only.
2d
comment Given probability distribution $f(x)=2-bx$ find $b$ and range for $x$
You are given that $f>0$ only on some range. Why do you see fit to integrate $f$ on $(0,\infty)$?
2d
comment Transitivity of a binary relation on the power set
The relation E={{1,2},{3,4}} already disproves the first point, it seems, since {1} and {2,3} are related by F and {2,3} and {4} are related by F but {1} and {4} are not.
2d
revised Recurrence relation $a_{n+1}a_{n-1} = 1 + a_n$
deleted 17 characters in body; edited tags; edited title
2d
comment Why is $E(X_2|X_1) = X_1$?
You are actually computing $E(X_2\mid X_1=x_1)$ as being $x_1$ for every $x_1$ in $(0,1)$, hence indeed $E(X_2\mid X_1)=X_1$ almost surely.
2d
revised limiting value of an expectaion of a sum of random variables
added 92 characters in body
2d
comment If $P(X_1 < X_2)$, what is $P(X_1 < X_2 \cap X_1 < X_3)$?
Hint: Can you compare $P(X_1 < X_2 \cap X_1 < X_3)$, $P(X_2 < X_1 \cap X_2 < X_3)$ and $P(X_3 < X_1 \cap X_3 < X_2)$? What is their sum? (Note that this is reminiscent of the case of two random variables, which can be solved by comparing $P(X_1 < X_2)$ and $P(X_2 < X_1)$ and computing their sum.)
2d
comment Poisson Process with continuous rate, Finding Conditional Number of Arrivals
Why repost the exact same question? To game the system? The trouble is that, now, posting the solution I reached would be to condone this behaviour...
2d
comment Find the following integrals
Starting right now on this question would be a plus.
2d
comment Finding expression for probability given its PGF
@Uchu If you stonewall attempts to know what you know, this will not go very far...
2d
comment Limits of two fixed points of $E_\mu(x) = \mu e^x$
No you cannot take any $\varepsilon>1$, actually you have to use $\varepsilon=-\log\mu$.
2d
comment To test convergence of improper integral $ \int_{0}^{\infty} \frac{x\log(x)}{(1+x^2)^2}\, \mathrm dx$
The upper bound $\frac1{1+x^2}$ works like a charm on the whole interval.
2d
reviewed Close Parametrization of two curves.
2d
reviewed Close What is a “lattice” in set theory???
2d
reviewed Close Turning Preordered Sets into Preordered Monoids (Constructing Preordered Monoids from Preordered Sets)
2d
reviewed Close Induced map in cohomology of a covering
2d
reviewed Close Money-Business Stocks
2d
reviewed Close Distribution of a sum of squared normal variables?