Let X be a random variable with mean . Show that if E 4 (X )2n 5 < , then for > 0, P ! |X | " 1 2n E 4 (X )2n5 .

Introductory S tatistics Chapter 1: Lecture August 23rd, 2017 → 1.1 Terminology ← What i s Statistics - There is no unique or general definition of Statistics. Few of the most accepted/used definitions of statistics are given below: - A science of collecting, interpreting, and representing data. - Statistics is a way to collect information out of data. - Statistics is the study of how to collect, organize, analyze and interpret numerical a nd/or categorical i nformation. - A language, a mechanism for creating and communicating