Consider (X1, X2, X3) with the joint pdf f(x1, x2, 3) x exp{-} (x² + x² + x² − 3x₁2x2-x2x3)}. The full conditionals for X₂X₁ = 21, X3 = 23 and X3|X₁ = 1, X₂ = 2₂ for this joint density are X2|X1 = 21, X3 = x3 ~ N (1 + x3,7), X3|X1 = 21, X₂ = 22 ~ N(2, 1). You do not need to show how to obtain these two conditional distributions. (a) Find the full conditional for X1|X2 = 22, X3 = 23.

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