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zhoraster's user avatar
zhoraster
  • Member for 8 years, 6 months
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63 votes

I roll a die repeatedly until I get 6, and then count the number of 3s I got. What's my expected number of 3s?

35 votes

What's the difference between stochastic and random?

20 votes
Accepted

Lower bound of Gaussian tail?

16 votes
Accepted

On average, how many times must a circular pizza be randomly cut, to get a piece with no curved edge?

12 votes
Accepted

Step in computation of the expected cover time for the simple random walk on a discrete circle

12 votes
Accepted

If $f$ is uniformly continuous and $\int_\mathbb{R}|f(x)x^a|dx<\infty$ then $|f(x)x^b|$ is bounded for some $b\in(0,a]$

11 votes
Accepted

Show that there exist $n$ such that $r$ divides $\binom{p^n}{q^n}$

11 votes

Show $\mathbb{E}[f(X)g(X)] \geq \mathbb{E}[f(X)]\mathbb{E}[g(X)]$ for $f,g$ bounded, nondecreasing

11 votes

What is the probability that a natural number is a sum of two squares?

11 votes
Accepted

Show $\sum \frac{n}{2^n + n} <\frac 32$

11 votes

Complicated sum with binomial coefficients

9 votes

Does there exist $n$ such that all numbers $n,2n,\dots,2000n$ have the same digits?

9 votes
Accepted

To confirm the Novikov's condition

9 votes

Maximum of a sum of random variables

9 votes
Accepted

concentration of maximum of gaussians

8 votes

Distribution of the Maximum of a (infinite) Random Walk

8 votes

Expected maximum absolute value of $n$ iid standard Gaussians?

8 votes

Boundedness in the functional monotone class theorem

8 votes
Accepted

An inner product on $\mathcal{C}[a,b]$

7 votes
Accepted

Concentration of two independent sub-Gaussian random variables

7 votes
Accepted

What kind of "measure" is $dB_{t}(\omega)$

7 votes
Accepted

Positivity of a matrix built on Pascal's triangle

6 votes

Proving the FKG Inequality : $\mathbb{E}[f(X)g(X)] \geq \mathbb{E}[f(X)]\mathbb{E}[g(X)]$ using the Chebychev Sum Inequality

6 votes
Accepted

Contraction Property of Conditional Expectation

6 votes

Motivation for proof of Berry-Esséen Theorem

6 votes
Accepted

What is the size of the biggest subset such that none of its element is bigger k times than the other?

6 votes
Accepted

How to determine if conditional expectations with respect to different measures are equal a.s.?

6 votes
Accepted

Borel-Cantelli-related exercise: Show that $\sum_{n=1}^{\infty} p_n < 1 \implies \prod_{n=1}^{\infty} (1-p_n) \geq 1- S$.

6 votes
Accepted

fun question about binary representations

6 votes
Accepted

The locker puzzle - predetermined strategy

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