Question: The factorial moment-generating function of a discrete random variable X is given by Show that the rth derivative of FX(t) with respect to t at

The factorial moment-generating function of a discrete random variable X is given by
Σ Fx() = E() = f(x)

Show that the rth derivative of FX(t) with respect to t at t = 1 is µ'(r), the rth factorial moment defined in Exercise 5.11.

Fx() = E() = f(x)

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