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probability and expectation IMO book question

score 481 · Answer 1 · 2026-04-11 08:01:28

481

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probability and expectation IMO book question

Published on 11 Apr 2026 - 8:01

score 36 · Answer 2 · 2026-04-11 20:28:54

36

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Expected return of an endomap

Published on 11 Apr 2026 - 20:28

score 38 · Answer 3 · 2026-04-09 19:12:08

38

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Why do expectations not scale with probabilities?

Published on 09 Apr 2026 - 19:12

score 432 · Answer 4 · 2026-04-11 04:24:35

432

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Expected Value of flipping through a book

Published on 11 Apr 2026 - 4:24

score 126 · Answer 5 · 2026-04-11 02:43:50

126

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Expectation of exponential of martingale difference with stochastic volatility

Published on 11 Apr 2026 - 2:43

score 56 · Answer 6 · 2026-04-15 13:40:51

56

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Applying Conditional Expectation Formula

Published on 15 Apr 2026 - 13:40

score 33 · Answer 7 · 2026-04-16 03:58:01

33

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Random variable that satisfies $\widetilde{x} > 0$ yet $\mathbb{E}\left[\ln(\widetilde{x})\right] = -\infty$

Published on 16 Apr 2026 - 3:58

score 148 · Answer 8 · 2026-04-11 06:06:04

148

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What is wrong with this definite integral (expected value of a function of a truncated Normal random variable)?

Published on 11 Apr 2026 - 6:06

score 99 · Answer 9 · 2026-04-09 02:43:14

99

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A Question about Expected Value

Published on 09 Apr 2026 - 2:43

score 63 · Answer 10 · 2026-04-09 17:06:55

63

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Is this expected value evaluated correctly?

Published on 09 Apr 2026 - 17:06

score 354 · Answer 11 · 2026-04-09 19:45:48

354

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How to solve a question about an expected time value in terms of states and transitions

Published on 09 Apr 2026 - 19:45

score 86 · Answer 12 · 2026-04-15 14:24:31

86

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Urn contains $i$ white balls and $(3-i)$ black balls. Let $T$ be the time there are only white balls left in the urn. Find $E[T]$

Published on 15 Apr 2026 - 14:24

score 489 · Answer 13 · 2026-04-14 14:46:11

489

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Characteristic function of $Z=X-Y$, where $X$ and $Y$ follows Po($\lambda$) and prove that $E[Z^2]=2\lambda$

Published on 14 Apr 2026 - 14:46

score 36 · Answer 14 · 2026-04-16 10:55:51

36

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Unbiased estimation of $p$ given $g_p(x)=p\frac{a^x}{x!}e^{-a}+(1-p)\frac{b^x}{x!}e^{-b}$

Published on 16 Apr 2026 - 10:55

score 104 · Answer 15 · 2026-04-10 15:52:51

104

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Expected number of users reaching a particular state

Published on 10 Apr 2026 - 15:52

List Question

probability and expectation IMO book question

Expected return of an endomap

Why do expectations not scale with probabilities?

Expected Value of flipping through a book

Expectation of exponential of martingale difference with stochastic volatility

Applying Conditional Expectation Formula

Random variable that satisfies $\widetilde{x} > 0$ yet $\mathbb{E}\left[\ln(\widetilde{x})\right] = -\infty$

What is wrong with this definite integral (expected value of a function of a truncated Normal random variable)?

A Question about Expected Value

Is this expected value evaluated correctly?

How to solve a question about an expected time value in terms of states and transitions

Urn contains $i$ white balls and $(3-i)$ black balls. Let $T$ be the time there are only white balls left in the urn. Find $E[T]$

Characteristic function of $Z=X-Y$, where $X$ and $Y$ follows Po($\lambda$) and prove that $E[Z^2]=2\lambda$

Unbiased estimation of $p$ given $g_p(x)=p\frac{a^x}{x!}e^{-a}+(1-p)\frac{b^x}{x!}e^{-b}$

Expected number of users reaching a particular state

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