List questions from random-variables

Published on 25 Mar 2026 - 17:36

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Condition for uncorrelated two random variables

Published on 25 Mar 2026 - 14:19

262

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Finding $P(X_1+X_2 > 1.9X_3)$ where $X_1$, $X_2$, and $X_3$ are independent, normal distributed random variables

Published on 27 Mar 2026 - 10:31

53

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Defiintion of a.s. convergence: sequence of R.V.s $z_1, z_2, ...$ s.t. $P(z_i=1)=P(z_i=-1)=\frac 1 2$

Published on 26 Mar 2026 - 1:12

48

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Standard deviation of a bounded random value

Published on 26 Mar 2026 - 1:14

1.9k

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Let the random variable X have pmf ... and let Y=1/X. Find the cdf of Y.

Published on 04 Apr 2018 - 14:26

110

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how to show that $\mathbb{E}[|X|] = 0 \implies \mathbb{P}(X = 0) = 1$?

Published on 04 Apr 2018 - 15:58

1.3k

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Given X that is unif(0,1), find the pdf of Y=1/sqrt(X)

Published on 04 Apr 2018 - 16:32

592

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What's the expected number of locations with exactly one phone number in a hash table?

Published on 26 Mar 2026 - 1:12

37

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Piece wise Sequence Convergence in $L^p$ Proof

Published on 26 Mar 2026 - 1:14

230

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If $X<Y$ then the CDF of $X$ greater then CDF of $Y$

Published on 04 Apr 2018 - 22:40

120

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why does binomial random variable require fixed number of trails?

Published on 05 Apr 2018 - 4:04

40

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why is $f_X(x) = 1 \cdot \mathbb{\chi}_{[0,1]}$?

Published on 05 Apr 2018 - 8:00

76

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Implications of conditional independence between random variables

Published on 26 Mar 2026 - 2:44

191

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probability of a quadratic function has real roots

Published on 05 Apr 2018 - 12:18

List Question

Find a sufficient and complete statistic for parameters in an unobserved variable

Condition for uncorrelated two random variables

Finding $P(X_1+X_2 > 1.9X_3)$ where $X_1$, $X_2$, and $X_3$ are independent, normal distributed random variables

Defiintion of a.s. convergence: sequence of R.V.s $z_1, z_2, ...$ s.t. $P(z_i=1)=P(z_i=-1)=\frac 1 2$

Standard deviation of a bounded random value

Let the random variable X have pmf ... and let Y=1/X. Find the cdf of Y.

how to show that $\mathbb{E}[|X|] = 0 \implies \mathbb{P}(X = 0) = 1$?

Given X that is unif(0,1), find the pdf of Y=1/sqrt(X)

What's the expected number of locations with exactly one phone number in a hash table?

Piece wise Sequence Convergence in $L^p$ Proof

If $X<Y$ then the CDF of $X$ greater then CDF of $Y$

why does binomial random variable require fixed number of trails?

why is $f_X(x) = 1 \cdot \mathbb{\chi}_{[0,1]}$?

Implications of conditional independence between random variables

probability of a quadratic function has real roots

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