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In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.

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Inequality involving joint distribution and marginal distributions [closed]

Let $f(x,y)$ be a joint density of $X$ and $Y$. Let $f_{X}(x)$ and $f_{Y}(y)$ be the marginal density functions. Is the following inequality true? $$ \int_{-\infty}^{+\infty}\int_{-\infty}^{+\infty …