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Mar
9
comment Probability of complements with intersection.
You can use $P(\bar A \cap \bar B \cap \bar C) + P(A \cap \bar B \cap \bar C) = P(\bar B \cap \bar C)$
Mar
9
comment Are these random variables independent?
This other post might be of interest for your question.
Mar
6
comment Probability question - tagging birds and then determining total number based on how many are tagged
@LaBird: this is essentially the spirit of my answer.
Mar
6
comment Subinterval of an interval that has exponential distributed length
It should be obvious if you think about it.
Mar
6
comment Subinterval of an interval that has exponential distributed length
It has Gamma distribution with parameter $\frac{1}{3}$.
Mar
6
revised Does $f(n)$, growing slower than $n^{\alpha}$ for all $\alpha \in (0,1)$ exist, such that $\sum_{n} \frac{1}{nf(n)} < \infty$?
added 48 characters in body
Mar
6
answered Does $f(n)$, growing slower than $n^{\alpha}$ for all $\alpha \in (0,1)$ exist, such that $\sum_{n} \frac{1}{nf(n)} < \infty$?
Mar
6
revised Prove $\lim_{n\to\infty}x_n=2$ Given $\lim_{n \to \infty} x_n^{x_n} = 4$
deleted 6 characters in body
Mar
6
answered Prove $\lim_{n\to\infty}x_n=2$ Given $\lim_{n \to \infty} x_n^{x_n} = 4$
Mar
6
comment Definite integral property
@Usser123456798: You're welcome. Since you're new to this website, let me tell you it is customary to upvote and/or accept useful answers.
Mar
6
answered Definite integral property
Mar
6
comment Prove $\lim_{n\to\infty}x_n=2$ Given $\lim_{n \to \infty} x_n^{x_n} = 4$
I don't think it is: why $|x_n^2 - 4| \leq |x_n^{x_n} - 4|$?
Mar
6
answered Probability question - tagging birds and then determining total number based on how many are tagged
Mar
6
comment Probability question - tagging birds and then determining total number based on how many are tagged
Do you release a bird before catching the next one?
Mar
6
comment Expected value of cards that stay in envelope - permutation.
The two equalities you wrote are wrong. Plus, I have no idea what you have in mind to justify the first formula.
Mar
6
answered Evaluating probability as n tends toward infinity
Mar
6
revised Probability for 2 vertices to lie in the same component of a random graph
added 211 characters in body
Mar
6
answered Expected value of cards that stay in envelope - permutation.
Mar
5
answered Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$
Mar
5
comment Does this stopping time always have infinite first moment?
Just to bring useful, the implication $\Bbb E[T] < \infty \Rightarrow E[S_T] = 0$ follows directly from Wald's equation, which is kind of a special case of the optional stopping theorem.