4. Let X be a random variable taking positive values and assume that E(X) exists. Which of the following statements are true? • (i) E(1+ X*) >1+(E(X))'. (ii) E(|X|) > |E(X)|- • (iii) E(e!3X) > el3E(X).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. Let X be a random variable taking positive values and assume that E(X) exists. Which of
the following statements are true?
• (i) E(1+ Xª) >1+(E(X))'.
(ii) E(|X|) > |E(X)|.
• (iii) E(e13x) > e13E(X).
Transcribed Image Text:4. Let X be a random variable taking positive values and assume that E(X) exists. Which of the following statements are true? • (i) E(1+ Xª) >1+(E(X))'. (ii) E(|X|) > |E(X)|. • (iii) E(e13x) > e13E(X).
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