Introduction to Probability · Problem 10.1.7

Generating Functions — Grinstead & Snell

Mathematics — Probability · generating-functions-discrete

Problem

Let

X

be a discrete random variable with values in

\{0, 1, 2, \ldots, n\}

and moment generating function

g(t)

. Find, in terms of

g(t)

, the generating functions for (a)

-X

. (b)

X + 1

. (c)

3X

. (d)

aX + b