Let X₁ a random variable with expected value (mean) E(X₁)= 17 and variance V(X₁) = 12. Let X₂ another random variable with expected value (mean) E(X₂) = 22 and variance V(X₂) = 16. The covariance between X₁ and X₂ is Cov(X1,X 2)=9. Let a new random variable Y defined as Y = 9X₁ + 10x₂. a. d. Explain briefly the meaning of the correlation of these two random variables X₁ and X2. e. Explain briefly if X₁ and X₂ are linearly independent or not.
Let X₁ a random variable with expected value (mean) E(X₁)= 17 and variance V(X₁) = 12. Let X₂ another random variable with expected value (mean) E(X₂) = 22 and variance V(X₂) = 16. The covariance between X₁ and X₂ is Cov(X1,X 2)=9. Let a new random variable Y defined as Y = 9X₁ + 10x₂. a. d. Explain briefly the meaning of the correlation of these two random variables X₁ and X2. e. Explain briefly if X₁ and X₂ are linearly independent or not.
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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Question
![Practice Question 2:
Let X₁ a random variable with expected value (mean) E(X₁) = 17 and variance V(X₁) = 12. Let X₂
another random variable with expected value (mean) E(X₂) = 22 and variance V(X₂) = 16. The
covariance between X₁ and X₂ is Cov(X1,X 2)=9. Let a new random variable Y defined as Y = 9X₁ +
10x₂.
a.
d. Explain briefly the meaning of the correlation of these two random variables X₁ and X2.
e. Explain briefly if X₁ and X₂ are linearly independent not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13259cb9-470b-414b-9a98-ddea55cf55a6%2Fbb446186-274d-4d8f-aff7-4b94cda9a9e5%2F7y2f6e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Practice Question 2:
Let X₁ a random variable with expected value (mean) E(X₁) = 17 and variance V(X₁) = 12. Let X₂
another random variable with expected value (mean) E(X₂) = 22 and variance V(X₂) = 16. The
covariance between X₁ and X₂ is Cov(X1,X 2)=9. Let a new random variable Y defined as Y = 9X₁ +
10x₂.
a.
d. Explain briefly the meaning of the correlation of these two random variables X₁ and X2.
e. Explain briefly if X₁ and X₂ are linearly independent not.
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