Given the gaussian random vector x in problem

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Reference no: EM131084500

Given the Gaussian random vector X in Problem 5.7.1, Y = AX + b, where

And b = [-4 -4 -4]' Calculate

(a) the expected value µ_Y,

(b) the covariance C_Y,

(d) the probability that -1 ≤ Y2 ≤ 1

Problem 5.7.1

X is the 3-dimensional Gaussian random vector with expected value µX = [4 8 6]' and covariance

Calculate

(a) the correlation matrix, R_X,

(b) the PDF of the first two components of X, fX₁,X₂ (x₁, x₂),

Reference no: EM131084500

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