List questions from expected-value

Published on 27 Mar 2026 - 9:48

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Candy machines and optimal strategy in terms of expected value

Published on 27 Mar 2026 - 20:53

38

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Expected number of well addressed parcels

Published on 27 Mar 2026 - 20:53

178

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Expectation of Reciprocal of Sum of i.i.ds

Published on 17 Jan 2019 - 19:53

257

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Let $E[X]$ be the expected value of X, what is the meaning of $E[X^n]$

Published on 18 Jan 2019 - 7:09

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Let X be a Poisson random variable, show that $E[X^n] = \lambda E[(X+1)^{n-1}]$

Published on 18 Jan 2019 - 8:17

175

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Prove the Martingale Property for a sequence of Random Variables

Published on 27 Mar 2026 - 15:07

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Let $T$ be the number of tosses required until three consecutive heads appear for the first time. Find $\textbf{E}(T)$.

Published on 18 Jan 2019 - 19:04

414

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Expected number of steps in a 1D random walk with reflecting edges

Published on 19 Jan 2019 - 5:06

132

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Conditional expectation with a third random variable

Published on 19 Jan 2019 - 21:47

135

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Candy Crush - Expected extra moves

Published on 20 Jan 2019 - 11:38

18

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Find $P(Y(x)\gt E[Y(x)])$, where $Y(x)= \min\{i:X_i\gt x\}$ for $(X_i)$ i.i.d.

Published on 20 Jan 2019 - 16:32

39

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Throw a dice-expected value.

Published on 27 Mar 2026 - 11:44

66

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Understanding better conditional expectation : example with tossing coin.

Published on 21 Jan 2019 - 11:05

214

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Forex rate: Expected value paradox

Published on 27 Mar 2026 - 14:33

List Question

Expectation of the supremum of a sequence of random variables

Candy machines and optimal strategy in terms of expected value

Expected number of well addressed parcels

Expectation of Reciprocal of Sum of i.i.ds

Let $E[X]$ be the expected value of X, what is the meaning of $E[X^n]$

Let X be a Poisson random variable, show that $E[X^n] = \lambda E[(X+1)^{n-1}]$

Prove the Martingale Property for a sequence of Random Variables

Let $T$ be the number of tosses required until three consecutive heads appear for the first time. Find $\textbf{E}(T)$.

Expected number of steps in a 1D random walk with reflecting edges

Conditional expectation with a third random variable

Candy Crush - Expected extra moves

Find $P(Y(x)\gt E[Y(x)])$, where $Y(x)= \min\{i:X_i\gt x\}$ for $(X_i)$ i.i.d.

Throw a dice-expected value.

Understanding better conditional expectation : example with tossing coin.

Forex rate: Expected value paradox

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