Introduction to Probability · Problem 10.1.4

Generating Functions — Grinstead & Snell

Mathematics — Probability · generating-functions-discrete

Problem

In Exercise 3, the probability distribution is completely determined by its first two moments. Show that this is always true for any probability distribution on {0,1,2}\{0, 1, 2\}. Hint: Given μ1\mu_1 and μ2\mu_2, find h(z)h(z) as in Exercise 3 and use h(z)h(z) to determine pp.

Related theory

Browse the problem library