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Q2 Suppose X₁ and X₂ has a joint pdf given by f(x₁, x2) = 6x1,0 < x1 < x2 < 1, and zero otherwise. Q2 (i.) Find fx₁ (₁) Q2 (ii.) Find fx₂(x₂) Q2 (iii.) Find Cor(X₁, X₂) Q2 (iii.) Find f(x₂|x₁) Q2 (iv.) Find E(X₂|X₁) Q2 (v.) Find Var (X₂) Q2 (vi.) Find Var(E(X₂|X₁)) Q2 (vii.) Find E(Var(X₂|X₁)) Q2(viii.) Find a pdf of X₂ - X₁ using the ghosting method.

Q2 Suppose X₁ and X₂ has a joint pdf given by f(x₁, x2) = 6x1,0 < x1 < x2 < 1, and zero otherwise. Q2 (i.) Find fx₁ (₁) Q2 (ii.) Find fx₂(x₂) Q2 (iii.) Find Cor(X₁, X₂) Q2 (iii.) Find f(x₂|x₁) Q2 (iv.) Find E(X₂|X₁) Q2 (v.) Find Var (X₂) Q2 (vi.) Find Var(E(X₂|X₁)) Q2 (vii.) Find E(Var(X₂|X₁)) Q2(viii.) Find a pdf of X₂ - X₁ using the ghosting method.

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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Q2 Suppose X₁ and X₂ has a joint pdf given by f(x₁, x2) = 6x1,0 < x1 < x2 < 1, and zero otherwise. Q2 (i.) Find fx₁ (₁) Q2 (ii.) Find fx₂(x₂) Q2 (iii.) Find Cor(X₁, X₂) Q2 (iii.) Find f(x₂|x₁) Q2 (iv.) Find E(X₂|X₁) Q2 (v.) Find Var (X₂) Q2 (vi.) Find Var(E(X₂|X₁)) Q2 (vii.) Find E(Var(X₂|X₁)) Q2(viii.) Find a pdf of X₂ - X₁ using the ghosting method.
Transcribed Image Text:Q2 Suppose X₁ and X₂ has a joint pdf given by f(x₁, x2) = 6x1,0 < x1 < x2 < 1, and zero otherwise. Q2 (i.) Find fx₁ (₁) Q2 (ii.) Find fx₂(x₂) Q2 (iii.) Find Cor(X₁, X₂) Q2 (iii.) Find f(x₂|x₁) Q2 (iv.) Find E(X₂|X₁) Q2 (v.) Find Var (X₂) Q2 (vi.) Find Var(E(X₂|X₁)) Q2 (vii.) Find E(Var(X₂|X₁)) Q2(viii.) Find a pdf of X₂ - X₁ using the ghosting method.
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