Question

Calculate variance of $\overline{X}(1-\overline{X})$

score 41 · Answer 1 · 2022-10-23 15:48:56

41

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Calculate variance of $\overline{X}(1-\overline{X})$

Published on 23 Oct 2022 - 15:48

score 58 · Answer 2 · 2022-10-24 02:05:46

58

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What is an example of a random variable for which ${\rm Var}(X + Y) \not= {\rm Var}(X) + {\rm Var}(Y)$

Published on 24 Oct 2022 - 2:05

score 80 · Answer 3 · 2026-04-07 08:59:36

80

Views

Determine the values of c and d so that E[Y] = c and Var(Y ) = 1

Published on 07 Apr 2026 - 8:59

score 79 · Answer 4 · 2026-02-23 22:49:26

79

Views

Variance of flipping a coin until getting heads

Published on 23 Feb 2026 - 22:49

score 170 · Answer 5 · 2022-10-28 16:34:32

170

Views

Let $X$ be a random variable, prove that for any real number $a$, that $\mathrm{Var}(X) \le E[(X-a)^2]$

Published on 28 Oct 2022 - 16:34

score 177 · Answer 6 · 2026-04-02 08:12:32

177

Views

Can entropy be negative?

Published on 02 Apr 2026 - 8:12

score 81 · Answer 7 · 2022-11-01 15:21:11

81

Views

What is the variance of the sum of a random sample of random variables?

Published on 01 Nov 2022 - 15:21

score 346 · Answer 8 · 2022-11-03 18:26:08

346

Views

Standard deviation of sum of random variables vs. standard deviation of linear transformation of single random variable

Published on 03 Nov 2022 - 18:26

score 79 · Answer 9 · 2026-04-07 16:28:59

79

Views

Expected value and Variance of random variable in a problem

Published on 07 Apr 2026 - 16:28

score 143 · Answer 10 · 2026-04-02 16:55:09

143

Views

How to derived the mean and variance of Yule-Simon distribution?

Published on 02 Apr 2026 - 16:55

score 96 · Answer 11 · 2026-03-25 17:19:23

96

Views

Determine the value of $\theta$.

Published on 25 Mar 2026 - 17:19

score 115 · Answer 12 · 2022-11-06 16:36:09

115

Views

Jointly Gaussian Random Variables

Published on 06 Nov 2022 - 16:36

score 29 · Answer 13 · 2022-11-07 16:48:41

29

Views

What's the relation between $\text{Var}[f(U)\mid U\in I_j]$ and $\text{Var}[f(U_j)]$, where $U\sim\mathcal U_{[0,\:1)}$ and $U_j\sim\mathcal U_{I_j}$?

Published on 07 Nov 2022 - 16:48

score 45 · Answer 14 · 2022-11-09 05:59:26

45

Views

Computing the variance of dependent random variables without using the covariance

Published on 09 Nov 2022 - 5:59

score 42 · Answer 15 · 2026-04-07 08:13:17

42

Views

Why can we claim that $c^{2}\mathbb{V}(U) + 2c\mathbb{E}(TU) \geq 0$ implies that $\mathbb{E}(TU) = 0$?

Published on 07 Apr 2026 - 8:13

List Question

Calculate variance of $\overline{X}(1-\overline{X})$

What is an example of a random variable for which ${\rm Var}(X + Y) \not= {\rm Var}(X) + {\rm Var}(Y)$

Determine the values of c and d so that E[Y] = c and Var(Y ) = 1

Variance of flipping a coin until getting heads

Let $X$ be a random variable, prove that for any real number $a$, that $\mathrm{Var}(X) \le E[(X-a)^2]$

Can entropy be negative?

What is the variance of the sum of a random sample of random variables?

Standard deviation of sum of random variables vs. standard deviation of linear transformation of single random variable

Expected value and Variance of random variable in a problem

How to derived the mean and variance of Yule-Simon distribution?

Determine the value of $\theta$.

Jointly Gaussian Random Variables

What's the relation between $\text{Var}[f(U)\mid U\in I_j]$ and $\text{Var}[f(U_j)]$, where $U\sim\mathcal U_{[0,\:1)}$ and $U_j\sim\mathcal U_{I_j}$?

Computing the variance of dependent random variables without using the covariance

Why can we claim that $c^{2}\mathbb{V}(U) + 2c\mathbb{E}(TU) \geq 0$ implies that $\mathbb{E}(TU) = 0$?

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