E[X;] - 0) 2 E[S, IX; = 1]

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
4. Let X1,..., X, be 0-1 random variables (not necessarily independent) and let S, = X1 +...+ Xp.
Prove the following inequality:
E[X;]
P(S, > 0) 2
E[S, | X; = 1]
(1/S. if S.>0
Hint; you may want to consider the r.v. Y =
10.
otherwise
Transcribed Image Text:4. Let X1,..., X, be 0-1 random variables (not necessarily independent) and let S, = X1 +...+ Xp. Prove the following inequality: E[X;] P(S, > 0) 2 E[S, | X; = 1] (1/S. if S.>0 Hint; you may want to consider the r.v. Y = 10. otherwise
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