List questions from conditional-expectation

Published on 11 Apr 2026 - 17:40

91

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If $Y$ is a normal random variable and $E[Y\mid X]$ is also a normal random variable, does it mean that $X$ is a normal random variable?

Published on 12 Apr 2026 - 20:56

186

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conditional expectation and variance of integral stochastic

Published on 13 Apr 2026 - 12:23

192

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Find the conditional expectation $E(U\mid \min(U,1−U))$ where $U∼U[0,1]$

Published on 16 Apr 2026 - 12:11

34

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A question about the assumption of a problem regarding squared conditional expectation

Published on 11 Apr 2026 - 9:23

373

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What am I writing when I write $\mathbf X \mid \mathbf Y$?

Published on 13 Apr 2026 - 19:20

103

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Find $E[|X-Y| \mid Y = y ]$ where $X,Y$ are independent $U[0,1]$ variables

Published on 12 Apr 2026 - 16:54

69

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Conditional expectation of $XY^2$ given $X=5$

Published on 14 Apr 2026 - 16:17

453

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Conditional expectation of $X$ given $X+Y=5$ of a bivariate normal distribution

Published on 27 Mar 2026 - 21:45

209

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What the expectation of X given 2X?

Published on 12 Apr 2026 - 4:46

76

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Proof that two conditional expectations are equal

Published on 08 Apr 2026 - 22:50

93

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Proof regarding conditional expectation of sum of minima

Published on 11 Apr 2026 - 18:50

834

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Good books on Advanced Probability Theory with exercises to work with

Published on 12 Apr 2026 - 15:11

221

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conditional expectation and variance of integral stochastic of a Geometric Brownian motion

Published on 09 Apr 2026 - 16:17

51

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Finding $E(X\cdot\mathbb{1}_{X\ge t}\mid Y_{t})$ where $X\sim\text{Exp}(\lambda)$ and $Y_{t}=\min(t,X)$

Published on 16 Apr 2026 - 3:44

List Question

Integration regarding joint probability density functions to find required expectations

If $Y$ is a normal random variable and $E[Y\mid X]$ is also a normal random variable, does it mean that $X$ is a normal random variable?

conditional expectation and variance of integral stochastic

Find the conditional expectation $E(U\mid \min(U,1−U))$ where $U∼U[0,1]$

A question about the assumption of a problem regarding squared conditional expectation

What am I writing when I write $\mathbf X \mid \mathbf Y$?

Find $E[|X-Y| \mid Y = y ]$ where $X,Y$ are independent $U[0,1]$ variables

Conditional expectation of $XY^2$ given $X=5$

Conditional expectation of $X$ given $X+Y=5$ of a bivariate normal distribution

What the expectation of X given 2X?

Proof that two conditional expectations are equal

Proof regarding conditional expectation of sum of minima

Good books on Advanced Probability Theory with exercises to work with

conditional expectation and variance of integral stochastic of a Geometric Brownian motion

Finding $E(X\cdot\mathbb{1}_{X\ge t}\mid Y_{t})$ where $X\sim\text{Exp}(\lambda)$ and $Y_{t}=\min(t,X)$

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