Question

What is the expected time at which a success $S$ followed by a failure $F$, occurs for the first time in a sequence of Bernoulli trials?

score 216 · Answer 1 · 2026-04-12 04:42:02

216

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What is the expected time at which a success $S$ followed by a failure $F$, occurs for the first time in a sequence of Bernoulli trials?

Published on 12 Apr 2026 - 4:42

score 83 · Answer 2 · 2026-04-09 22:08:24

83

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Intuition behind using linearity of expectation in the hypergeometric case

Published on 09 Apr 2026 - 22:08

score 43 · Answer 3 · 2026-04-13 20:58:18

43

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Expected number of children for equal gender ratio

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score 40 · Answer 4 · 2026-04-12 11:49:36

40

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What is the expected value of sine of a multivariate Gaussian with non-diagonal covariance matrix?

Published on 12 Apr 2026 - 11:49

score 60 · Answer 5 · 2026-04-10 18:16:39

60

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Expected value of indicator function

Published on 10 Apr 2026 - 18:16

score 77 · Answer 6 · 2026-04-10 18:49:53

77

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Verifying the inverse Laplace transform for a production-inventory problem: total expected backlogs when demand is Poisson

Published on 10 Apr 2026 - 18:49

score 94 · Answer 7 · 2026-04-11 10:57:46

94

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Boundedness of a function of a exponential random variable

Published on 11 Apr 2026 - 10:57

score 39 · Answer 8 · 2026-04-09 13:17:07

39

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$\limsup$ of a sequence of decreasing expected value

Published on 09 Apr 2026 - 13:17

score 91 · Answer 9 · 2026-04-14 13:47:43

91

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Card Game Strategy

Published on 14 Apr 2026 - 13:47

score 73 · Answer 10 · 2026-04-14 18:03:32

73

Views

Show that $\mathbb{P}(X>u)\leq\mathbb{E}(g(X)\mathbf{1}_{X>u})$ for all $u\in\mathbb{R}$ where $g(x)$ is nonnegative and weakly increasing.

Published on 14 Apr 2026 - 18:03

score 462 · Answer 11 · 2026-04-11 22:22:59

462

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Problem regarding coloring balls drawn from a bin

Published on 11 Apr 2026 - 22:22

score 65 · Answer 12 · 2026-04-11 11:14:34

65

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Justify that $\operatorname{Cov}(y, y^\top\!Ay) = 2\Sigma A\mu$

Published on 11 Apr 2026 - 11:14

score 22 · Answer 13 · 2026-04-12 21:11:58

22

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Estimating Quantity $ p _2$ from $ p _1 $ with Mean Error Correction

Published on 12 Apr 2026 - 21:11

score 188 · Answer 14 · 2026-04-15 11:19:11

188

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Find expected value of red and blue ball pairs

Published on 15 Apr 2026 - 11:19

score 69 · Answer 15 · 2026-03-26 07:50:12

69

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How to find $E[X \Phi(X)]$ with $X$ normally distributed?

Published on 26 Mar 2026 - 7:50

List Question

What is the expected time at which a success $S$ followed by a failure $F$, occurs for the first time in a sequence of Bernoulli trials?

Intuition behind using linearity of expectation in the hypergeometric case

Expected number of children for equal gender ratio

What is the expected value of sine of a multivariate Gaussian with non-diagonal covariance matrix?

Expected value of indicator function

Verifying the inverse Laplace transform for a production-inventory problem: total expected backlogs when demand is Poisson

Boundedness of a function of a exponential random variable

$\limsup$ of a sequence of decreasing expected value

Card Game Strategy

Show that $\mathbb{P}(X>u)\leq\mathbb{E}(g(X)\mathbf{1}_{X>u})$ for all $u\in\mathbb{R}$ where $g(x)$ is nonnegative and weakly increasing.

Problem regarding coloring balls drawn from a bin

Justify that $\operatorname{Cov}(y, y^\top\!Ay) = 2\Sigma A\mu$

Estimating Quantity $ p _2$ from $ p _1 $ with Mean Error Correction

Find expected value of red and blue ball pairs

How to find $E[X \Phi(X)]$ with $X$ normally distributed?

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