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iv) E[E[Y²|X]]_ (EY)²

iv) E[E[Y²|X]]_ (EY)²

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve subpart (iv). i-iii already solved

Let X, Y be positive random variables (not necessarily independent). Assuming X, Y have all finite moments, write and explain briefly the most appropriate of ≤, ≥, =, ? in the blank, where '?' means no relationship holds in general. i) E(X³). √E(X²) E(X4) ii) P(|X+Y> 2)_ -¹/E((X+Y) ¹) iii) E[√x +3]. iv) E[E[Y²|X]]. 16 √E[(X+3)] (EY)²
Transcribed Image Text:Let X, Y be positive random variables (not necessarily independent). Assuming X, Y have all finite moments, write and explain briefly the most appropriate of ≤, ≥, =, ? in the blank, where '?' means no relationship holds in general. i) E(X³). √E(X²) E(X4) ii) P(|X+Y> 2)_ -¹/E((X+Y) ¹) iii) E[√x +3]. iv) E[E[Y²|X]]. 16 √E[(X+3)] (EY)²
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