Expectation of Discrete Random Variable from PGF/Motivation

Expectation of Discrete Random Variable from PGF: Also known as

Expectation of Discrete Random Variable from PGF shows how to find the expectation of a discrete random variable without the need to go through the tedious process of what might be a complicated and fiddly summation.

All you need to do is differentiate the PGF and plug in $1$.

Assuming, of course, you know what the PGF is.

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