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The expected value of a random variable is a weighted average of all possible values a random variable can take on, with the weights equal to the probability of taking on that value.
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The meaning of an analytical result concerning the (formally nonexistent) mean of the square...
This question arose as I was writing this answer to this question.
Let $X$ be normally distributed with mean $\mu$ and standard deviation $\sigma$, and let $Y=1/X$.
First, note that the integral repre …
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A follow-up to 'The meaning of an analyt. result concerning the… mean of the square of a rec...
This question concerns the same subject matter as this previous question of mine. However, a moderator felt that the questions I posed there are significantly different from the question I am about t …