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## Main Question or Discussion Point

Hello,

How do we interpret the fact that a random variable can have no mean? For example the Cauchy distribution, which arises from the ratio of two standard normal distributions.

I seek intuitive explanations or visualisations to understand math "facts" better.

How do we interpret the fact that a random variable can have no mean? For example the Cauchy distribution, which arises from the ratio of two standard normal distributions.

I seek intuitive explanations or visualisations to understand math "facts" better.