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Deriving the variance of a binomial distribution

score 3k · Answer 1 · 2026-04-02 06:16:41

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Deriving the variance of a binomial distribution

Published on 02 Apr 2026 - 6:16

score 345 · Answer 2 · 2026-03-31 05:42:43

345

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How to determine the expectation of the square of a binomial collection

Published on 31 Mar 2026 - 5:42

score 1.5k · Answer 3 · 2026-03-21 17:57:35

1.5k

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Expected no. of children "at least one boy and at least one girl, with boy older than girl"

Published on 21 Mar 2026 - 17:57

score 4.8k · Answer 4 · 2026-03-25 15:51:51

4.8k

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Number of moves necessary to solve Rubik's cube by pure chance

Published on 25 Mar 2026 - 15:51

score 144 · Answer 5 · 2015-05-11 12:35:42

144

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Formula for $E(X^4)$ as integral of complementary CDF of random variable $X$

Published on 11 May 2015 - 12:35

score 66 · Answer 6 · 2015-05-11 15:49:07

66

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Show that $EX_1 1_A \geq 0$ given A is an event $\left(\sum\limits_1^n X_i>0 \right)$

Published on 11 May 2015 - 15:49

score 263 · Answer 7 · 2026-03-31 19:11:46

263

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Central Limit Theorem prove an expectation could be wrong

Published on 31 Mar 2026 - 19:11

score 50 · Answer 8 · 2015-05-12 18:10:34

50

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Which distribution satisfy expectation of square root of summing of square of coefficients is equal to summing coefficients?

Published on 12 May 2015 - 18:10

score 2.6k · Answer 9 · 2015-05-12 23:37:10

2.6k

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Expectation of trigonometric functions involving random variables.

Published on 12 May 2015 - 23:37

score 1.6k · Answer 10 · 2026-03-29 15:54:34

1.6k

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How to calculate a population mean for a normal distribution

Published on 29 Mar 2026 - 15:54

score 114 · Answer 11 · 2026-03-30 12:58:58

114

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Show that MLE of $\lambda = \frac{n-T_n}{S_n+cT_n}$

Published on 30 Mar 2026 - 12:58

score 1.5k · Answer 12 · 2015-05-13 15:22:47

1.5k

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If $\mathbb{E}[X] = 0$, then $P[X \geq \lambda] \leq \frac{\sigma^2}{\sigma^2 + \lambda^2}$

Published on 13 May 2015 - 15:22

score 298 · Answer 13 · 2015-05-13 23:29:28

298

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Expected value of max of three numbers

Published on 13 May 2015 - 23:29

score 25 · Answer 14 · 2015-05-14 09:54:40

25

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Why $\mathbb E[S_T\boldsymbol 1_{\{T\leq n\}}]+\mathbb E[S_n\boldsymbol 1_{\{T>n\}}]=\mathbb E[S_{T\wedge n}]$?

Published on 14 May 2015 - 9:54

score 1.1k · Answer 15 · 2015-05-14 16:22:11

1.1k

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Derivative of an Expectation over an Indicator function

Published on 14 May 2015 - 16:22

List Question

Deriving the variance of a binomial distribution

How to determine the expectation of the square of a binomial collection

Expected no. of children "at least one boy and at least one girl, with boy older than girl"

Number of moves necessary to solve Rubik's cube by pure chance

Formula for $E(X^4)$ as integral of complementary CDF of random variable $X$

Show that $EX_1 1_A \geq 0$ given A is an event $\left(\sum\limits_1^n X_i>0 \right)$

Central Limit Theorem prove an expectation could be wrong

Which distribution satisfy expectation of square root of summing of square of coefficients is equal to summing coefficients?

Expectation of trigonometric functions involving random variables.

How to calculate a population mean for a normal distribution

Show that MLE of $\lambda = \frac{n-T_n}{S_n+cT_n}$

If $\mathbb{E}[X] = 0$, then $P[X \geq \lambda] \leq \frac{\sigma^2}{\sigma^2 + \lambda^2}$

Expected value of max of three numbers

Why $\mathbb E[S_T\boldsymbol 1_{\{T\leq n\}}]+\mathbb E[S_n\boldsymbol 1_{\{T>n\}}]=\mathbb E[S_{T\wedge n}]$?

Derivative of an Expectation over an Indicator function

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