Mathematics
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Johnny's user avatar
Johnny's user avatar
Johnny
  • Member for 2 years, 9 months
  • Last seen more than a week ago
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Score Newest
question
3
Proof that linearity of expectation holds for countably infinite sum of random variables $(X_n)$ given $\sum_{i=1}^{\infty}E[|X_i|]$ converges?
Aug 3, 2021
question
2
How to show that for any random variable $X$ and $t > 0$, $\Pr(X - E[X] \geq t\sigma[X]) \leq \frac{1}{1 + t^2}$? [duplicate]
Aug 17, 2021
answer
2
How does the choice of alphabet impact the Shannon entropy of a sequence (if at all)?
May 7
question
1
How many $(a, b) \in \mathbb{Z}_p^2$ are there such that $ax + b = y \mod p$ for some $x, y \in \mathbb{Z}_p$?
Feb 17, 2021
question
1
Each time a ball is drawn from a bin of white and black balls, add an additional ball of that color. Probability of $i$ whites in bin after $n$ balls?
Mar 31, 2021
question
1
How to derive a Chernoff bound for the sum of integers independently chosen uniformly at random from $\{0, 1, 2\}$?
Sep 24, 2021
question
1
Why are models of equality impossible?
Apr 10
answer
1
Inclusion-Exclusion Principle: an easy application
Apr 10
question
0
Understanding the principle of deferred decisions; how are these events independent?
Mar 26, 2021
question
0
For independent geometric random variables $X, Y$, what is $\Pr(\max(X, Y) = i \cap X = Y)$?
May 17, 2021
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How is inapproximability by polynomial size circuits sufficient for the Nisan-Wigderson generator?

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