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Let X (X₁, X2, X3, X4)' have probability distribution function 20! f(x1, 12, 13, 14) = x₁x₂x3!₁! (0.3)*¹ (0.1)*¹ (0.4)(0.2) 2₁+22+23+24 = 20 Find (i) Pr(X₁= 6, X₂ = 2, X3 = 8, X₁ = 4) (ii) E[X2, X4 X₁ = 4, X3 = 6] (iii) the distribution of Z = X₁ + 4X₂ - 2X3 +24

Let X (X₁, X2, X3, X4)' have probability distribution function 20! f(x1, 12, 13, 14) = x₁x₂x3!₁! (0.3)*¹ (0.1)*¹ (0.4)(0.2) 2₁+22+23+24 = 20 Find (i) Pr(X₁= 6, X₂ = 2, X3 = 8, X₁ = 4) (ii) E[X2, X4 X₁ = 4, X3 = 6] (iii) the distribution of Z = X₁ + 4X₂ - 2X3 +24

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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Let X = (X₁, X2, X3, X4)' have probability distribution function 20! f(x1, x2, X3, X4) = x₁!1₂!*3!₁! (0.3)*¹ (0.1)*2 (0.4)*(0.2) ₁+2+3+x=20 Find (i) Pr(X₁ = 6, X₂ = 2, X3 = 8, X₁ = 4) (ii) E[X₂, X₁|X₁ = 4, X3 = 6] (iii) the distribution of Z = X₁ +4X2-2X3 +24
Transcribed Image Text:Let X = (X₁, X2, X3, X4)' have probability distribution function 20! f(x1, x2, X3, X4) = x₁!1₂!*3!₁! (0.3)*¹ (0.1)*2 (0.4)*(0.2) ₁+2+3+x=20 Find (i) Pr(X₁ = 6, X₂ = 2, X3 = 8, X₁ = 4) (ii) E[X₂, X₁|X₁ = 4, X3 = 6] (iii) the distribution of Z = X₁ +4X2-2X3 +24
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