List questions from expected-value

Published on 25 Mar 2026 - 23:10

148

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Comparing expectations of logarithms of the random variables

Published on 23 Oct 2018 - 14:18

296

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What is $E[1/X]$ for $f(x) = 3x^2$ when $0<x<1$?

Published on 23 Oct 2018 - 16:49

223

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Expected Number of Coin Flips to Form a Certain Sequence

Published on 23 Oct 2018 - 16:57

53

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Is it possible to prove $E\left[\frac{\sum_{i=1}^n(x_i-\mu)^k}{n-1}\right]=E[(x-E(x))^k]$?

Published on 23 Oct 2018 - 18:03

167

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Expectation and Probability with Power Laws

Published on 23 Oct 2018 - 18:16

45

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Expectation of minimum with exponential distributions

Published on 25 Mar 2026 - 12:55

1.1k

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Variance of the sum of two random variables

Published on 25 Mar 2026 - 13:59

235

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Negative Binomial Random Variable Question

Published on 25 Mar 2026 - 20:40

67

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Show $X=Y$ if $E(X\mid \mathcal G) =Y$ and $E(X^2\mid\mathcal G) =Y^2$

Published on 24 Oct 2018 - 9:35

233

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Find variance and general formula for for r$^{th}$ moment for random variable uniform over (0,1)

Published on 25 Oct 2018 - 4:41

67

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Prove that $\mathrm{E}(X \ln X) \ge \mathrm{E}(X) \mathrm{E}(\ln X)$

Published on 25 Oct 2018 - 7:19

55

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$X\sim N(0,1)$ and $U=1 \ \text{if} \ X \ge 0 \ \text{and} \ U=0 \ \text{if} \ X<0$

Published on 25 Oct 2018 - 9:39

179

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Analytic solution exists for integral involving product of two Erf functions, but Mathematica can't find it. Why?

Published on 25 Mar 2026 - 18:48

49

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Problem about Expected Value

Published on 25 Oct 2018 - 12:27

List Question

Conditional expectation of a sequence of random variables

Comparing expectations of logarithms of the random variables

What is $E[1/X]$ for $f(x) = 3x^2$ when $0<x<1$?

Expected Number of Coin Flips to Form a Certain Sequence

Is it possible to prove $E\left[\frac{\sum_{i=1}^n(x_i-\mu)^k}{n-1}\right]=E[(x-E(x))^k]$?

Expectation and Probability with Power Laws

Expectation of minimum with exponential distributions

Variance of the sum of two random variables

Negative Binomial Random Variable Question

Show $X=Y$ if $E(X\mid \mathcal G) =Y$ and $E(X^2\mid\mathcal G) =Y^2$

Find variance and general formula for for r$^{th}$ moment for random variable uniform over (0,1)

Prove that $\mathrm{E}(X \ln X) \ge \mathrm{E}(X) \mathrm{E}(\ln X)$

$X\sim N(0,1)$ and $U=1 \ \text{if} \ X \ge 0 \ \text{and} \ U=0 \ \text{if} \ X<0$

Analytic solution exists for integral involving product of two Erf functions, but Mathematica can't find it. Why?

Problem about Expected Value

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