Let us consider a continuous sample space $S$ of some random experiment;
Is it true that $p(\{e\}) = 0$ for all $e \in S$ even in the case of non-uniform probability function?
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What is $p(e)$? – RLC Jul 05 '18 at 22:22
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probability of element $e$. – hanugm Jul 05 '18 at 22:23
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1By definition, a continuous r.v. can not take a sigle value. If $p(e)$ is the density function then it's not always Zero. – RLC Jul 05 '18 at 22:27
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@RobertoCabal "By definition, a continuous r.v. can not take a sigle value." What? You might want to rephrase that because as written, that doesn't make sense. – Jul 29 '18 at 17:38
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@ZacharySelk You are right, it's poorly written. I mean that the probability of a rv taking a single value (and not laying on a interval) is zero. Is that clear? – RLC Jul 29 '18 at 18:08
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@RobertoCabal That's correct. – Jul 29 '18 at 18:09