(7) Let X₁.X₂, X3 be jointly distributed with means #₁ = 2₁ μ₂ varaince-covariance matrix = 5 and #3 = 2 and 4 xy 160 y 04 here and y are constants. Let Z₁ = X₁ + 2X₂ - 4X3 and Z₂ = X₁ + X₂ + X3, determine (i) EZ), Z (Z₁, Z₂) (ii) the values of z and y such that Z₁ and Z₂ are independent and Var (Z₂) = 10. Hence find the mean and variance of Z=2Z₁ +52₂-4

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