List questions from expectation

Published on 25 Mar 2026 - 17:51

569

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Is there a way to find $\min\{E|X-c|, \:c \in \mathbb{R}\}$

Published on 25 Mar 2026 - 11:05

56

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E(X), V(X), P(X$\ge$ 4) for colored candies in Jar

Published on 25 Mar 2026 - 13:55

74

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Conditional convergence of $\Bbb E[X^{-1}]$ for $X\sim\mathcal{N}(\mu,\sigma^{2})$ as $\operatorname{pr}(X>0)\to 1$

Published on 25 Mar 2026 - 6:13

660

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Prove that if $E(X^2+Y^2) \lt \infty$, $E(X|Y)=Y$, $E(Y|X)=X$, then $P(X=Y)=1$

Published on 08 Jun 2018 - 2:07

2.1k

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Expectation of exponential of a sum of two Wiener processes

Published on 25 Mar 2026 - 16:13

68

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Auto Correlation of a sum of random variables

Published on 08 Jun 2018 - 19:56

372

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What is $E|\langle A\rangle|$?

Published on 09 Jun 2018 - 15:15

129

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Expected number of coin flips until a random number of consecutive heads

Published on 09 Jun 2018 - 18:27

40

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$\sup_{x \ge 0} |x|^{1 + \varepsilon} \mathbb P[X \gt x] \lt \infty$ for arbitrary $\varepsilon > 0$ implies $X$ integrable

Published on 09 Jun 2018 - 22:13

51

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Basic Probability expectation

Published on 10 Jun 2018 - 9:56

1.9k

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Is there any counterexample to show that $X,Y$ are two random variables and $E(X\mid Y)=E(X)$, but $X$ and $Y$ are not independent.

Published on 11 Jun 2018 - 0:53

62

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Can we write $E[x_1x_2]^2$ in terms of $E[x^2_1]$ and $E[x^2_2]$?

Published on 11 Jun 2018 - 9:22

477

Views

$n$ bugs moving in a line

Published on 11 Jun 2018 - 9:58

86

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Calculating conditional expectation and mean time to failure

Published on 11 Jun 2018 - 20:11

List Question

$E|B_t - B_s|^4 = 3|t-s|^2$

Is there a way to find $\min\{E|X-c|, \:c \in \mathbb{R}\}$

E(X), V(X), P(X$\ge$ 4) for colored candies in Jar

Conditional convergence of $\Bbb E[X^{-1}]$ for $X\sim\mathcal{N}(\mu,\sigma^{2})$ as $\operatorname{pr}(X>0)\to 1$

Prove that if $E(X^2+Y^2) \lt \infty$, $E(X|Y)=Y$, $E(Y|X)=X$, then $P(X=Y)=1$

Expectation of exponential of a sum of two Wiener processes

Auto Correlation of a sum of random variables

What is $E|\langle A\rangle|$?

Expected number of coin flips until a random number of consecutive heads

$\sup_{x \ge 0} |x|^{1 + \varepsilon} \mathbb P[X \gt x] \lt \infty$ for arbitrary $\varepsilon > 0$ implies $X$ integrable

Basic Probability expectation

Is there any counterexample to show that $X,Y$ are two random variables and $E(X\mid Y)=E(X)$, but $X$ and $Y$ are not independent.

Can we write $E[x_1x_2]^2$ in terms of $E[x^2_1]$ and $E[x^2_2]$?

$n$ bugs moving in a line

Calculating conditional expectation and mean time to failure

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