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__What is Marginal Probability Density Function (Marginal PDF) or Marginal Densities__?

When the PDFs f__What is Marginal Probability Density Function (Marginal PDF) or Marginal Densities__?

**x**(x) and f

**y**(y) for any single random variable are obtained from the joint PDF, in that case f

**x**(x) and f

**y**(y) are called as marginal PDF or marginal densities.

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__READ THIS ALSO__:-**Conditional Probability Density Function (Conditional PDF) - Properties of Conditional PDF with Derivation**

__Proof-__Now to find the CDF of random variable X, the value of other random variable Y, does not matter.

Similarly we can get-

Here f

**x**(x) and f

**y**(y) are known as marginal PDF or simply marginal densities as both of these PDFs are obtained from the joint PDF.

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