Question

Is it possible that two independent variables become dependent conditioning on a third random variable

score 3.7k · Answer 1 · 2016-08-22 20:05:30

3.7k

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Is it possible that two independent variables become dependent conditioning on a third random variable

Published on 22 Aug 2016 - 20:05

score 431 · Answer 2 · 2016-08-24 01:50:51

431

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What are some interesting un-intuitive problems in probability aside from Monty Hall?

Published on 24 Aug 2016 - 1:50

score 113 · Answer 3 · 2026-03-26 01:03:23

113

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Confusing selection process of Boy or Girl Paradox.

Published on 26 Mar 2026 - 1:03

score 79 · Answer 4 · 2016-08-29 14:22:21

79

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Conditionally independent sequence that is elementwise conditionally dependent

Published on 29 Aug 2016 - 14:22

score 122 · Answer 5 · 2016-08-30 21:41:49

122

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Are combinations of independent random variables also independent

Published on 30 Aug 2016 - 21:41

score 2.1k · Answer 6 · 2026-03-27 23:14:18

2.1k

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If $X$ and $Y$ are independent exponential then $\{\min(X,Y)>z\}$ and $\{X<Y\}$ are independent?

Published on 27 Mar 2026 - 23:14

score 56 · Answer 7 · 2026-03-30 00:53:54

56

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Poisson variables - inequalities of sum these variables

Published on 30 Mar 2026 - 0:53

score 669 · Answer 8 · 2016-09-03 12:01:20

669

Views

If $ f $ is a Borel function, and $ X $ and $ f(X) $ are independent, then $ \mathsf{P}(f(X) = c) = 1 $ for some constant $ c \in \mathbb{R} $.

Published on 03 Sep 2016 - 12:01

score 995 · Answer 9 · 2026-03-28 09:54:29

995

Views

Popcorn Probability

Published on 28 Mar 2026 - 9:54

score 166 · Answer 10 · 2016-09-04 17:19:45

166

Views

Linearly independent set question

Published on 04 Sep 2016 - 17:19

score 191 · Answer 11 · 2026-03-30 08:02:27

191

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Converse Relationship in Conditional Independence

Published on 30 Mar 2026 - 8:02

score 1.6k · Answer 12 · 2016-09-08 01:55:52

1.6k

Views

Are random variable and deterministic constant independent?

Published on 08 Sep 2016 - 1:55

score 1.8k · Answer 13 · 2016-09-08 18:34:07

1.8k

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Sum of Random Variables and Convolution

Published on 08 Sep 2016 - 18:34

score 305 · Answer 14 · 2016-09-10 12:01:11

305

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Let X and Y be independent random variables, with the same probability distribution. Find P(X=Y) and P(X $\leq$ Y)

Published on 10 Sep 2016 - 12:01

score 69 · Answer 15 · 2016-09-13 09:34:38

69

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proving that given independence of RV $X$ and $Y$,$\mathbb{E}[X|Y]=\mathbb{E}[X]$.

Published on 13 Sep 2016 - 9:34

List Question

Is it possible that two independent variables become dependent conditioning on a third random variable

What are some interesting un-intuitive problems in probability aside from Monty Hall?

Confusing selection process of Boy or Girl Paradox.

Conditionally independent sequence that is elementwise conditionally dependent

Are combinations of independent random variables also independent

If $X$ and $Y$ are independent exponential then $\{\min(X,Y)>z\}$ and $\{X<Y\}$ are independent?

Poisson variables - inequalities of sum these variables

If $ f $ is a Borel function, and $ X $ and $ f(X) $ are independent, then $ \mathsf{P}(f(X) = c) = 1 $ for some constant $ c \in \mathbb{R} $.

Popcorn Probability

Linearly independent set question

Converse Relationship in Conditional Independence

Are random variable and deterministic constant independent?

Sum of Random Variables and Convolution

Let X and Y be independent random variables, with the same probability distribution. Find P(X=Y) and P(X $\leq$ Y)

proving that given independence of RV $X$ and $Y$,$\mathbb{E}[X|Y]=\mathbb{E}[X]$.

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