Let X be N3(,) with μ = 2 (²) -3 and Σ = [1 1 1] 132 22 (a) Find the distribution of X₁ + 2X2 - 3X3. (b) For this joint distribution, write the conditional distribution of X3 given that X₁ = ₁ and X₂ = x2

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[1 1 1]
1 3 2
1 2 2
2
Let X be N3(µ, E) with u =
-3
and E:
1
(a) Find the distribution of X1 + 2X2 – 3X3.
(b) For this joint distribution, write the conditional distribution
of X3 given that X1 = x1 and X2 = x2
Transcribed Image Text:[1 1 1] 1 3 2 1 2 2 2 Let X be N3(µ, E) with u = -3 and E: 1 (a) Find the distribution of X1 + 2X2 – 3X3. (b) For this joint distribution, write the conditional distribution of X3 given that X1 = x1 and X2 = x2
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