# Inequality in probability density function [closed]

Let $X, Y$ be two discrete random variables with density function $f_X$ and $f_Y$. Let $f_{X,Y}$ be the joint density function. Then is it true

$\sum_{x,y}f_X(x)f_Y(y) \leq \sum_{x,y}f_{X,Y}(x,y)$

?

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## closed as off-topic by Did, Daryl, Paul, some1.new4u, Lost1Jan 18 at 11:37

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Did, Daryl, Paul, some1.new4u, Lost1
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I think that both sides are equal to 1. –  kmitov Jan 18 at 6:04
This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level. –  Did Jan 18 at 8:37