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Question Protected by kjetil b halvorsen
Post Made Community Wiki by whuber
Post Reopened by Silverfish, whuber
edited to make it not about "the simplest" but about what are some simple ones
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amoeba
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Simplest example Simple examples of uncorrelated but not independent X$X$ and Y?$Y$

If anyAny hard-working student is the simplesta counterexample to "all students are lazy", what is the simplest counterexample.

What are some simple counterexamples to "if random variables X$X$ and Y$Y$ are uncorrelated then they are independent"?

Simplest example of uncorrelated but not independent X and Y?

If any hard-working student is the simplest counterexample to "all students are lazy", what is the simplest counterexample to "if random variables X and Y are uncorrelated they are independent"?

Simple examples of uncorrelated but not independent $X$ and $Y$

Any hard-working student is a counterexample to "all students are lazy".

What are some simple counterexamples to "if random variables $X$ and $Y$ are uncorrelated then they are independent"?

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Clare Brown
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Simplest example of uncorrelated but not independent X and Y?

If any hard-working student is the simplest counterexample to "all students are lazy", what is the simplest counterexample to "if random variables X and Y are uncorrelated they are independent"?