List questions from expected-value

Published on 10 Apr 2026 - 1:34

49

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Convergence of expectations of product of r.v.

Published on 15 Apr 2026 - 9:29

105

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Show that $\mathbb{E}_\xi \left[(\pi-\theta_\xi)\cos\theta_\xi+\sin\theta_\xi\right] > 1$ when $\xi$ has sufficiently large variance

Published on 16 Apr 2026 - 13:44

32

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Three questions about $E[X \mid Y,g(Y)] = E[X|Y]$

Published on 13 Apr 2026 - 9:35

47

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Questions about what is $E[X \mid c]$

Published on 14 Apr 2026 - 8:13

50

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Two quick notation questions about $M_X(t)$ the Moment Generating Function

Published on 25 Mar 2026 - 9:24

236

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Expected value of power of sum of square of dependent Gaussian

Published on 13 Apr 2026 - 0:22

576

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Derivation of Bellman equation for state value function V(s)

Published on 09 Apr 2026 - 15:14

153

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How to prove that $\mathbb{E}[\mathrm{MSA}]=\sigma^2+\frac{n}{a-1}\sum_{i=1}^{a}(\mu_i−\mu)^2$.

Published on 16 Apr 2026 - 5:16

425

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Understanding vector interpretation of random variables.

Published on 13 Apr 2026 - 6:21

250

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Use the characterization function to find the mean of the uniform distribution on (0,1)

Published on 25 Mar 2026 - 7:48

99

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Deriving a differential equation from a given expectation

Published on 11 Apr 2026 - 18:39

80

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Expectation of $\max_{j=1,\dots,M}X_j^2$ with normal distributed $X_j$

Published on 13 Apr 2026 - 21:23

149

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Expectation $T(T-1)$ where $T$ is the sample mean of i.i.d. Bernoulli random numbers

Published on 15 Apr 2026 - 17:53

426

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Word probability problem about conditional expectation

Published on 10 May 2026 - 21:43

List Question

Expectation of a discrete function of a continuous random variable

Convergence of expectations of product of r.v.

Show that $\mathbb{E}_\xi \left[(\pi-\theta_\xi)\cos\theta_\xi+\sin\theta_\xi\right] > 1$ when $\xi$ has sufficiently large variance

Three questions about $E[X \mid Y,g(Y)] = E[X|Y]$

Questions about what is $E[X \mid c]$

Two quick notation questions about $M_X(t)$ the Moment Generating Function

Expected value of power of sum of square of dependent Gaussian

Derivation of Bellman equation for state value function V(s)

How to prove that $\mathbb{E}[\mathrm{MSA}]=\sigma^2+\frac{n}{a-1}\sum_{i=1}^{a}(\mu_i−\mu)^2$.

Understanding vector interpretation of random variables.

Use the characterization function to find the mean of the uniform distribution on (0,1)

Deriving a differential equation from a given expectation

Expectation of $\max_{j=1,\dots,M}X_j^2$ with normal distributed $X_j$

Expectation $T(T-1)$ where $T$ is the sample mean of i.i.d. Bernoulli random numbers

Word probability problem about conditional expectation

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