Direction: Answer the following as indicated. 1 1. Let X be N (μ, E) with μ' = [-3 1 4] and Σ = -2 0 Which of the following random variables are independent? Explain. X₁ and X₂ X₂ and X3 -2 01 5 0 0 21 a. b. c. (X₁, X₂) and X3 2. Specify the conditional distribution of X3, given that X₁ = x₁ and X₂ = x₂ for the joint distribution in (1).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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"answer systematically (multivariate analysis)" 

Direction: Answer the following as indicated.
1
1. Let X be N(μ, E) with μ' = [-3 1 4] and Σ = -2
0
Which of the following random variables are independent? Explain.
X₁ and X₂
X₂ and X3
c. (X₁, X₂) and X3
2. Specify the conditional distribution of X3, given that X₁ = x₁ and X₂ = x₂ for the joint
distribution in (1).
a.
b.
-2 01
5 0
0 2
Transcribed Image Text:Direction: Answer the following as indicated. 1 1. Let X be N(μ, E) with μ' = [-3 1 4] and Σ = -2 0 Which of the following random variables are independent? Explain. X₁ and X₂ X₂ and X3 c. (X₁, X₂) and X3 2. Specify the conditional distribution of X3, given that X₁ = x₁ and X₂ = x₂ for the joint distribution in (1). a. b. -2 01 5 0 0 2
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