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
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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.
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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