Question: please proof the question 7 Problem 7 (10pt) We denote by PY [4),Y (5),Y [6][X[4,Y[0],Y[1],y(2],Y(3] (7/4, V5, 16 34, 70, V/1, 12, 13) the joint

please proof the question 7

Problem 7 (10pt) We denote by PY [4),Y (5),Y [6][X[4,Y[0],Y[1],y(2],Y(3] (7/4, V5, 16 34, 70, V/1, 12, 13) the joint pdf of random variables Y [4), Y[5] Y [6] conditioned on the event X[4) = $4, Y [0] = yo, Y[1] = y1, Y[2) = 92, Y[3] = 43 Similarly, we denote by PY [4], Y [5], Y [6]|X [3],*[4],Y[0], Y[1],Y[2],>[3] (74, V/5, V/6 43, $4, Vo, V/1, 1/2, 1/3) the joint pdf of Y[4], Y[5] Y[6] conditioned on the event X [3] = x3, X [4] - x4, Y[0] = yo, Y [1] = y1, Y[2] = 92, Y(3] = 43 Is the following functional equality true? PY [4],Y [5], Y (6][ * [3],*[4], Y[0],Y[I],Y[2],Y13] (74, V5, V6

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