Question

What is the relationship between two formulas for expected value in terms of CDF?

score 79 · Answer 1 · 2026-03-26 16:04:59

79

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What is the relationship between two formulas for expected value in terms of CDF?

Published on 26 Mar 2026 - 16:04

score 344 · Answer 2 · 2026-04-16 04:20:35

344

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Expectation $E[e^{\lambda B_{T}}]$ where $T$ is a stopping time w.r.t. Brownian Motion

Published on 16 Apr 2026 - 4:20

score 53 · Answer 3 · 2026-04-12 20:14:07

53

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Finding the expected value of the longest substring of $1$'s

Published on 12 Apr 2026 - 20:14

score 48 · Answer 4 · 2026-04-17 02:50:33

48

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Expected value of i.i.d samples

Published on 17 Apr 2026 - 2:50

score 324 · Answer 5 · 2026-04-16 18:37:08

324

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Let $(X_1, \ldots, X_n) \sim \operatorname{Unif}(0,b), b>0$. Find $E\left[\sum \frac{X_i }{X_{(n)}}\right]$

Published on 16 Apr 2026 - 18:37

score 308 · Answer 6 · 2026-04-14 01:38:04

308

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What is the expected value of the area of a triangle inside a triangle?

Published on 14 Apr 2026 - 1:38

score 39 · Answer 7 · 2026-04-13 19:42:12

39

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How many balls spill in expectation? (balls and bins)

Published on 13 Apr 2026 - 19:42

score 142 · Answer 8 · 2026-04-11 18:42:18

142

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Tricky probability problem (2 possible solutions ?!)

Published on 11 Apr 2026 - 18:42

score 193 · Answer 9 · 2026-04-13 21:04:04

193

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Why the equation $E(X \mid X=1000) = 1000$ is false, intuitively?

Published on 13 Apr 2026 - 21:04

score 37 · Answer 10 · 2026-04-15 01:54:54

37

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How can I show that for a sequence of independent martingales $(X_{i}^{j})_{i,j}$ we have $E[X_{i+1}^{j}\lvert \mathcal G_{i}]=X_{i}^{j}$

Published on 15 Apr 2026 - 1:54

score 529 · Answer 11 · 2026-04-10 05:11:58

529

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Finding Expected Value of Conditional Poisson Distribution

Published on 10 Apr 2026 - 5:11

score 69 · Answer 12 · 2026-04-12 05:42:07

Justification for the calculation of expectation on the first indicator random variable of a series of mutually dependent experiments.

score 326 · Answer 13 · 2026-04-11 08:48:37

326

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Calculating expected value of $X$ with the density function $f(x)=16xe^{-4x}$

Published on 11 Apr 2026 - 8:48

score 1.2k · Answer 14 · 2026-04-16 14:35:19

1.2k

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Two players until one player wins three games in a row. Each player will win with probability $\frac{1}2$. How many games will they play?

Published on 16 Apr 2026 - 14:35

score 265 · Answer 15 · 2026-04-09 09:36:08

265

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Understanding the mean function for time series analysis

Published on 09 Apr 2026 - 9:36

List Question

What is the relationship between two formulas for expected value in terms of CDF?

Expectation $E[e^{\lambda B_{T}}]$ where $T$ is a stopping time w.r.t. Brownian Motion

Finding the expected value of the longest substring of $1$'s

Expected value of i.i.d samples

Let $(X_1, \ldots, X_n) \sim \operatorname{Unif}(0,b), b>0$. Find $E\left[\sum \frac{X_i }{X_{(n)}}\right]$

What is the expected value of the area of a triangle inside a triangle?

How many balls spill in expectation? (balls and bins)

Tricky probability problem (2 possible solutions ?!)

Why the equation $E(X \mid X=1000) = 1000$ is false, intuitively?

How can I show that for a sequence of independent martingales $(X_{i}^{j})_{i,j}$ we have $E[X_{i+1}^{j}\lvert \mathcal G_{i}]=X_{i}^{j}$

Finding Expected Value of Conditional Poisson Distribution

Justification for the calculation of expectation on the first indicator random variable of a series of mutually dependent experiments.

Calculating expected value of $X$ with the density function $f(x)=16xe^{-4x}$

Two players until one player wins three games in a row. Each player will win with probability $\frac{1}2$. How many games will they play?

Understanding the mean function for time series analysis

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