List questions from expected-value

Published on 01 Feb 2019 - 6:25

91

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Expectation of exponential random variables

Published on 25 Mar 2026 - 11:12

59

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If $E[X]=\int_{0}^{\infty}(1-F_X(t)-F_X(-t))dt$ then why $E[X^2]=\int_{0}^{\infty}(1-F_{X^2}(t))dt$

Published on 01 Feb 2019 - 8:37

43

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Expected number of rolls of die until gcd/lcm exceeds certain value?

Published on 01 Feb 2019 - 17:17

1.8k

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Prove that if $P[X\leq Y] =1$ then $E[X]\leq E[Y]$

Published on 01 Feb 2019 - 17:25

501

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Show that $e^{X^2/2} \in L^1$ iff $e^{XY} \in L^1$ iff $e^{|XY|} \in L^1$

Published on 01 Feb 2019 - 17:44

54

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Expected value of a $3 \times 3$ symmetric determinant with iid entries

Published on 01 Feb 2019 - 22:09

114

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Find expected value of a random rectangle in a square grid

Published on 01 Feb 2019 - 23:46

189

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Property of least squares estimates question

Published on 26 Mar 2026 - 19:05

285

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Proof that $P(X\geq 2^{-n})\leq 2^nE X$

Published on 03 Feb 2019 - 15:05

147

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A Probabilistic Drinking Problem

Published on 26 Mar 2026 - 8:03

465

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Probability distribution to maximize the expected distance between two points

Published on 04 Feb 2019 - 19:58

106

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Expectation of ratio of normal and root chi-square

Published on 27 Mar 2026 - 8:56

39

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Conditional Expectations of maximum of rv

Published on 05 Feb 2019 - 11:57

251

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$\sigma$-algebra making Conditional Expectation equal to Expectation

Published on 27 Mar 2026 - 18:22

List Question

Compare $E[|X| \cdot 1\{|X| < M\}]$ and $P(|X| < M)$ with $E|X|=1$

Expectation of exponential random variables

If $E[X]=\int_{0}^{\infty}(1-F_X(t)-F_X(-t))dt$ then why $E[X^2]=\int_{0}^{\infty}(1-F_{X^2}(t))dt$

Expected number of rolls of die until gcd/lcm exceeds certain value?

Prove that if $P[X\leq Y] =1$ then $E[X]\leq E[Y]$

Show that $e^{X^2/2} \in L^1$ iff $e^{XY} \in L^1$ iff $e^{|XY|} \in L^1$

Expected value of a $3 \times 3$ symmetric determinant with iid entries

Find expected value of a random rectangle in a square grid

Property of least squares estimates question

Proof that $P(X\geq 2^{-n})\leq 2^nE X$

A Probabilistic Drinking Problem

Probability distribution to maximize the expected distance between two points

Expectation of ratio of normal and root chi-square

Conditional Expectations of maximum of rv

$\sigma$-algebra making Conditional Expectation equal to Expectation

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