Siméon
Reputation
7,874
Next privilege 10,000 Rep.
Access moderator tools
 Mar9 comment Probability of complements with intersection. You can use $P(\bar A \cap \bar B \cap \bar C) + P(A \cap \bar B \cap \bar C) = P(\bar B \cap \bar C)$ Mar9 comment Are these random variables independent? This other post might be of interest for your question. Mar6 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. Mar6 comment Subinterval of an interval that has exponential distributed length It should be obvious if you think about it. Mar6 comment Subinterval of an interval that has exponential distributed length It has Gamma distribution with parameter $\frac{1}{3}$. Mar6 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 Mar6 answered Does $f(n)$, growing slower than $n^{\alpha}$ for all $\alpha \in (0,1)$ exist, such that $\sum_{n} \frac{1}{nf(n)} < \infty$? Mar6 revised Prove $\lim_{n\to\infty}x_n=2$ Given $\lim_{n \to \infty} x_n^{x_n} = 4$ deleted 6 characters in body Mar6 answered Prove $\lim_{n\to\infty}x_n=2$ Given $\lim_{n \to \infty} x_n^{x_n} = 4$ Mar6 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. Mar6 answered Definite integral property Mar6 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 $|x_n^2 - 4| \leq |x_n^{x_n} - 4|$? Mar6 answered Probability question - tagging birds and then determining total number based on how many are tagged Mar6 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? Mar6 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. Mar6 answered Evaluating probability as n tends toward infinity Mar6 revised Probability for 2 vertices to lie in the same component of a random graph added 211 characters in body Mar6 answered Expected value of cards that stay in envelope - permutation. Mar5 answered Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$ Mar5 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.