Let X (X₁, X2, X3, X4)' have probability distribution function 20! f(x1, 12, 13, 14) = x₁x₂x3!₁! (0.3)*¹ (0.1)*¹ (0.4)(0.2) 2₁+22+23+24 = 20 Find (i) Pr(X₁= 6, X₂ = 2, X3 = 8, X₁ = 4) (ii) E[X2, X4 X₁ = 4, X3 = 6] (iii) the distribution of Z = X₁ + 4X₂ - 2X3 +24

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Q: 1. Let X, 2 Poisson(A,), for i = 1,2. (a) Show that X1 + X2~ Poisson(A1 + Ag). (b) Show that X| X +…

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