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).
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
Section: Chapter Questions
Problem 1P
Related questions
Question
"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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cc61053-2af4-4cb3-99b9-e7644db3bc4c%2F841b5333-d59a-4e6e-8a77-c622c3a11a14%2F9kgvdh9_processed.jpeg&w=3840&q=75)
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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