Question

Expectation of $x^n$ when $x$~$U[0,1]$

score 144 · Answer 1 · 2026-03-25 06:04:49

144

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Expectation of $x^n$ when $x$~$U[0,1]$

Published on 25 Mar 2026 - 6:04

score 2.2k · Answer 2 · 2026-03-26 08:03:27

2.2k

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What can I say about expected value of expected value of x given y: $E[E[X|Y]]$

Published on 26 Mar 2026 - 8:03

score 711 · Answer 3 · 2026-03-25 12:49:46

711

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If $\tau=\inf \{t \ge 0: B(t)= -a \text{ or } b\}$ is a stopping time of Brownian motion $B_t$, why does $E(\tau)=E(B_{\tau}^2)$?

Published on 25 Mar 2026 - 12:49

score 33 · Answer 4 · 2018-12-14 16:46:59

33

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Question arising from the proof of the existence of $\mathbb E[X]$ when $X$ ~ $\mathcal{N}(\mu, \sigma ^2)$

Published on 14 Dec 2018 - 16:46

score 163 · Answer 5 · 2018-12-14 16:54:27

Expected index of the first job candidate that is better than the very first candidate interviewed (My alternative approach doesn't match solution)

score 129 · Answer 6 · 2026-03-26 04:30:36

129

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Prove / Disprove that $E\big((X−a)^4\big)$ is minimized when $a=E(X)$.

Published on 26 Mar 2026 - 4:30

score 1.2k · Answer 7 · 2018-12-15 03:04:23

1.2k

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Probability of Winning Coin Tosses - Variable Number of Games

Published on 15 Dec 2018 - 3:04

score 90 · Answer 8 · 2026-03-27 11:38:34

90

Views

Find combination given expectation and variance

Published on 27 Mar 2026 - 11:38

score 67 · Answer 9 · 2018-12-17 02:19:38

67

Views

Compute $E(\sqrt{X+Y})$ given that $X,Y$ are iid

Published on 17 Dec 2018 - 2:19

score 198 · Answer 10 · 2018-12-17 03:13:24

198

Views

Reconciling two interpretations of $E(X^2)$

Published on 17 Dec 2018 - 3:13

score 251 · Answer 11 · 2018-12-17 05:10:07

251

Views

Expected Value for defined Random Variables $X$ and $Y$

Published on 17 Dec 2018 - 5:10

score 337 · Answer 12 · 2018-12-17 06:18:43

337

Views

Discrete Probability: Expected Value and Random Variable independence

Published on 17 Dec 2018 - 6:18

score 572 · Answer 13 · 2018-12-17 06:48:49

572

Views

Compute $E[\max (X,Y)]$ for $X$ standard exponential, $Y$ uniform on $[0,1]$, $(X,Y)$ independent

Published on 17 Dec 2018 - 6:48

score 1.2k · Answer 14 · 2018-12-17 14:20:22

1.2k

Views

Expected value given joint PDF

Published on 17 Dec 2018 - 14:20

score 56 · Answer 15 · 2026-03-25 05:07:38

56

Views

combinatoric problem: probability of different wins (outcomes) in the some way similar to the the BINGO game

Published on 25 Mar 2026 - 5:07

List Question

Expectation of $x^n$ when $x$~$U[0,1]$

What can I say about expected value of expected value of x given y: $E[E[X|Y]]$

If $\tau=\inf \{t \ge 0: B(t)= -a \text{ or } b\}$ is a stopping time of Brownian motion $B_t$, why does $E(\tau)=E(B_{\tau}^2)$?

Question arising from the proof of the existence of $\mathbb E[X]$ when $X$ ~ $\mathcal{N}(\mu, \sigma ^2)$

Expected index of the first job candidate that is better than the very first candidate interviewed (My alternative approach doesn't match solution)

Prove / Disprove that $E\big((X−a)^4\big)$ is minimized when $a=E(X)$.

Probability of Winning Coin Tosses - Variable Number of Games

Find combination given expectation and variance

Compute $E(\sqrt{X+Y})$ given that $X,Y$ are iid

Reconciling two interpretations of $E(X^2)$

Expected Value for defined Random Variables $X$ and $Y$

Discrete Probability: Expected Value and Random Variable independence

Compute $E[\max (X,Y)]$ for $X$ standard exponential, $Y$ uniform on $[0,1]$, $(X,Y)$ independent

Expected value given joint PDF

combinatoric problem: probability of different wins (outcomes) in the some way similar to the the BINGO game

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