List questions from expectation

Published on 11 Apr 2026 - 21:32

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Expectation of function of two random variables conditioned on one r.v. of the function itself

Published on 13 Apr 2026 - 19:14

42.6k

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If a 1 meter rope is cut at two uniformly randomly chosen points, what is the average length of the smallest piece?

Published on 15 Apr 2026 - 5:59

12.6k

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Expected number of types of coupons collected after $n$ picks

Published on 13 Apr 2026 - 2:17

40.2k

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Choose a random number between $0$ and $1$ and record its value. Keep doing it until the sum of the numbers exceeds $1$. How many tries do we need?

Published on 13 Apr 2026 - 10:43

12.3k

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$X$ standard normal distribution, $E[X^k]=?$

Published on 15 Apr 2026 - 6:16

747

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Formula similar to $EX=\sum\limits_{i=1}^{\infty}P\left(X\geq i\right)$ to compute $E(X^n)$?

Published on 17 Apr 2026 - 12:32

210

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What is EY if Y=a or Y=X with given probabilities p and 1-p?

Published on 14 Apr 2026 - 12:22

2.3k

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Random walking and the expected value

Published on 09 Apr 2026 - 3:07

208

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Expectation where linearity can not be used

Published on 11 Apr 2026 - 21:34

17k

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Example of a general random variable with finite mean but infinite variance

Published on 14 Apr 2026 - 10:42

4k

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What is the name of this theorem, and are there any caveats?

Published on 15 Apr 2026 - 13:10

1k

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Expectation of a stopping time of a Wiener process

Published on 11 Apr 2026 - 15:30

4.6k

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Find $E(\max(X,Y))$ for $X$, $Y$ independent standard normal

Published on 14 Apr 2026 - 17:07

List Question

Proving relationship between cuts in graph

Expectation of function of two random variables conditioned on one r.v. of the function itself

If a 1 meter rope is cut at two uniformly randomly chosen points, what is the average length of the smallest piece?

Expected number of types of coupons collected after $n$ picks

Choose a random number between $0$ and $1$ and record its value. Keep doing it until the sum of the numbers exceeds $1$. How many tries do we need?

$X$ standard normal distribution, $E[X^k]=?$

Formula similar to $EX=\sum\limits_{i=1}^{\infty}P\left(X\geq i\right)$ to compute $E(X^n)$?

What is EY if Y=a or Y=X with given probabilities p and 1-p?

Random walking and the expected value

Expectation where linearity can not be used

Example of a general random variable with finite mean but infinite variance

What is the name of this theorem, and are there any caveats?

Expectation of a stopping time of a Wiener process

Find $E(\max(X,Y))$ for $X$, $Y$ independent standard normal

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