1. Two gaussian random variables: X₁ and X2 are linearly tra into new variables: Y, and Y2, as given below. Y₁ = 7X₁-5X2 Y2₂ = 2Y₁ +9X2 2 = If X and X2have zero means and variances: ox,216 and ox₂ 9. The cross-covariance between X, and X2is 4. Find the means, variances of Y, and Y2. Compute the cross-covariance between Y₁ and Y2.

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1.
Two gaussian random variables: X₁ and X2 are linearly tra
into new variables: Y, and Y2, as given below.
Y₁ = 7X₁-5X2
Y2₂ = 2Y₁ +9X2
2
=
If X and X2have zero means and variances: ox,216 and ox₂
9. The cross-covariance between X, and X2is 4. Find the means,
variances of Y, and Y2. Compute the cross-covariance between Y₁
and Y2.
Transcribed Image Text:1. Two gaussian random variables: X₁ and X2 are linearly tra into new variables: Y, and Y2, as given below. Y₁ = 7X₁-5X2 Y2₂ = 2Y₁ +9X2 2 = If X and X2have zero means and variances: ox,216 and ox₂ 9. The cross-covariance between X, and X2is 4. Find the means, variances of Y, and Y2. Compute the cross-covariance between Y₁ and Y2.
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