List questions from expectation

Published on 31 Mar 2026 - 10:06

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How to show that $E \left[ ( V-E[V|V+U])^2VU \right] =-2E \left[ \left( \text{Var}(V|V+U) \right)^2 \right]$

Published on 19 Oct 2016 - 20:39

397

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Expected number of rejected null hypotheses using FDR

Published on 28 Mar 2026 - 14:18

409

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Expectation of a shorter piece

Published on 21 Oct 2016 - 19:57

58

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Probabilistic blobs on a rectangular grid

Published on 22 Oct 2016 - 14:05

398

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example of simple random variable on [0,1] that has finite mean but infinite variance

Published on 31 Mar 2026 - 10:08

39

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Expected Value (Discrete Case)

Published on 23 Oct 2016 - 1:56

201

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Numbered tic tac toe game with cards, 2 options for playing, how much is the profit?

Published on 23 Oct 2016 - 17:59

9.6k

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Moments of standard normal random variable

Published on 24 Oct 2016 - 8:26

58

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Inequality with expectation

Published on 24 Oct 2016 - 12:49

481

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Expected value stopping time $E(\tau)$ with $\tau=\inf\{k>0 \mid X_k=1\} $

Published on 27 Mar 2026 - 19:53

650

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Expected value of steps required to reach 50 m

Published on 24 Oct 2016 - 17:00

26

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How to solve the expectation of the function of RV whose value is also RV?

Published on 28 Mar 2026 - 4:34

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If $X$ is a normal random variable with mean $\mu$ and variance $\sigma^2$, show that $E(|X-\mu|) = \sqrt{\frac{2}{\pi}}\sigma.$

Published on 25 Oct 2016 - 5:33

245

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How to prove the Markov chain is positively correlated?

Published on 28 Mar 2026 - 22:28

List Question

bound of two random variable’s expectation

How to show that $E \left[ ( V-E[V|V+U])^2VU \right] =-2E \left[ \left( \text{Var}(V|V+U) \right)^2 \right]$

Expected number of rejected null hypotheses using FDR

Expectation of a shorter piece

Probabilistic blobs on a rectangular grid

example of simple random variable on [0,1] that has finite mean but infinite variance

Expected Value (Discrete Case)

Numbered tic tac toe game with cards, 2 options for playing, how much is the profit?

Moments of standard normal random variable

Inequality with expectation

Expected value stopping time $E(\tau)$ with $\tau=\inf\{k>0 \mid X_k=1\} $

Expected value of steps required to reach 50 m

How to solve the expectation of the function of RV whose value is also RV?

If $X$ is a normal random variable with mean $\mu$ and variance $\sigma^2$, show that $E(|X-\mu|) = \sqrt{\frac{2}{\pi}}\sigma.$

How to prove the Markov chain is positively correlated?

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