(a) The pdf of the k x 1 random vector X is √x 6) = [² fx 1=1 -n I (n.) |exp(-2₁7¹x,). (i) Determine the mgf of X: 3 x 1. (ii) The mgf of X : p x 1 is Mx (t) = 1 (¹-4) k=1 ak Use differentiation to find the variance of X. -nk 0< 0

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