Summary: Chapter 8 lecture notes
Math 431, Spring 2011
Instructor: David F. Anderson
Chapter 8: Limit Theorems
Section 8.2: Markov and Chebyshev inequalities and the weak law of large num-
bers
Theorem 1. Suppose that X is a random variable taking only non-negative values. Then,
for any a 0,
P{X a}
E[X]
a
.
Before proving this, what does it tell us about our previous example?
P{Y 368}
E[Y ]
368
=
300
368
= 0.815.

Source: Anderson, David F. - Department of Mathematics, University of Wisconsin at Madison

Collections: Mathematics