Question

Probability: Finding the Expected Value of a Random Variable Derived From a Definition.

score 207 · Answer 1 · 2026-04-08 05:10:10

207

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Probability: Finding the Expected Value of a Random Variable Derived From a Definition.

Published on 08 Apr 2026 - 5:10

score 117 · Answer 2 · 2015-12-12 01:46:38

117

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Compute $E[X_1 \mid X_2]$; $E[S_n\mid X_1]$; $E[S_n \mid S_{n-1}]$

Published on 12 Dec 2015 - 1:46

score 1.4k · Answer 3 · 2015-12-14 09:08:55

1.4k

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Conditional expectation $E[\min{\{X,Y\}}|Y^{2}]$

Published on 14 Dec 2015 - 9:08

score 59 · Answer 4 · 2026-04-06 00:14:17

59

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Show $E((X-Y)Y)=0$

Published on 06 Apr 2026 - 0:14

score 62 · Answer 5 · 2015-12-14 16:47:38

62

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Let $\phi \in [0,1]^X$ integrable, $A\subseteq B$, and $\phi (X\setminus A)=\{0\}$, is $\frac{\mathbb{E}(\phi |B)}{\mathbb{E}(\phi |A)}=1?$

Published on 14 Dec 2015 - 16:47

score 1.4k · Answer 6 · 2026-04-06 17:49:55

1.4k

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Is there an intuitive way of viewing the Law of Total Expectation $\mathbb{E}\big[\mathbb{E}[X|Y]\big]=\mathbb{E}[X]?$

Published on 06 Apr 2026 - 17:49

score 72 · Answer 7 · 2026-04-06 04:56:49

72

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$X_{1},X_{2},...X_{n}$ i.i.d. ~ $N(\mu,\theta)$,calculate $E[X_{1}|\bar X]$

Published on 06 Apr 2026 - 4:56

score 1.8k · Answer 8 · 2026-03-28 06:16:29

1.8k

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Mean and Variance of normal distribution given that is greater than $0$

Published on 28 Mar 2026 - 6:16

score 387 · Answer 9 · 2026-03-29 09:11:51

387

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Expectation of maximum of arithmetic means of i.i.d. exponential random variables

Published on 29 Mar 2026 - 9:11

score 76 · Answer 10 · 2015-12-16 22:17:42

76

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A little confusion about conditional expectation

Published on 16 Dec 2015 - 22:17

score 197 · Answer 11 · 2026-03-28 09:33:31

197

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Intuition behind Expectation of a sequence of independent, uniform random variables.

Published on 28 Mar 2026 - 9:33

score 195 · Answer 12 · 2015-12-17 18:10:09

195

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What is my expectation in a lottery?

Published on 17 Dec 2015 - 18:10

score 95 · Answer 13 · 2026-04-01 20:47:20

95

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Finding conditional probability distribution (X|Y) from (Y|X)

Published on 01 Apr 2026 - 20:47

score 264 · Answer 14 · 2026-04-08 22:54:39

264

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Feynman-Kac for dividend stream

Published on 08 Apr 2026 - 22:54

score 2.7k · Answer 15 · 2015-12-20 16:57:11

2.7k

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Expected value of probability of intersection.

Published on 20 Dec 2015 - 16:57

List Question

Probability: Finding the Expected Value of a Random Variable Derived From a Definition.

Compute $E[X_1 \mid X_2]$; $E[S_n\mid X_1]$; $E[S_n \mid S_{n-1}]$

Conditional expectation $E[\min{\{X,Y\}}|Y^{2}]$

Show $E((X-Y)Y)=0$

Let $\phi \in [0,1]^X$ integrable, $A\subseteq B$, and $\phi (X\setminus A)=\{0\}$, is $\frac{\mathbb{E}(\phi |B)}{\mathbb{E}(\phi |A)}=1?$

Is there an intuitive way of viewing the Law of Total Expectation $\mathbb{E}\big[\mathbb{E}[X|Y]\big]=\mathbb{E}[X]?$

$X_{1},X_{2},...X_{n}$ i.i.d. ~ $N(\mu,\theta)$,calculate $E[X_{1}|\bar X]$

Mean and Variance of normal distribution given that is greater than $0$

Expectation of maximum of arithmetic means of i.i.d. exponential random variables

A little confusion about conditional expectation

Intuition behind Expectation of a sequence of independent, uniform random variables.

What is my expectation in a lottery?

Finding conditional probability distribution (X|Y) from (Y|X)

Feynman-Kac for dividend stream

Expected value of probability of intersection.

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