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3. Let X₁ and X2 have joint pdf a. b. C. d. e. (1, 0

3. Let X₁ and X2 have joint pdf a. b. C. d. e. (1, 0

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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3. Let X₁ and X2 have joint pdf a. b. C. d. e. (1, 0<x₁x₂ <1 0. W. fx, x, (*₁,*₂)= (1 Derive the marginal pdf of X₁. Derive the conditional pdf of X₂X₁ X1 and calculate E[X2X1 X1]. Please Calculate E[X2] and demonstrate that E[E(X2)X1)]=E[X₂]. Between Var[X2] and Var[X2|X1 X1], which one is bigger? Calculate P(0<X2<3/4|X₁=1/2).
Transcribed Image Text:3. Let X₁ and X2 have joint pdf a. b. C. d. e. (1, 0<x₁x₂ <1 0. W. fx, x, (*₁,*₂)= (1 Derive the marginal pdf of X₁. Derive the conditional pdf of X₂X₁ X1 and calculate E[X2X1 X1]. Please Calculate E[X2] and demonstrate that E[E(X2)X1)]=E[X₂]. Between Var[X2] and Var[X2|X1 X1], which one is bigger? Calculate P(0<X2<3/4|X₁=1/2).
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