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Question: question 3 20 points conditional pdf if fxy x y...

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Question 3 (20 points, Conditional PDF): If fxy(x, y) = k12 for l < x y 2, determine (a) (5 Pts.) k (b) (5 Pts.) fyx(vl) and fxi(rly). (c) (5 Pts. E[l/X|Y-2 (d) (5 Pts.) Through the use of marginal PDFs, prove whether X and Y are independent?

Question 3 (20 points, Conditional PDF): If fXY (x, y) = kx2 for 1 ≤ x ≤ y ≤ 2, determine (a) (5 Pts.) k (b) (5 Pts.) fY |X(y|x) and fX|Y (x|y). (c) (5 Pts.) E[1/X|Y = 2]. (d) (5 Pts.) Through the use of marginal PDFs, prove whether X and Y are independent?

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