Question: Assume X1, X2, X3 i.i.d. Exp (1), and define (a) Show that the joint distribution of Y1, Y2 and Y3 is given by Y

Assume X1, X2, X3 i.i.d. ∼ Exp (1), and define

Y = X1 X1+X2+ X3 X + X2 Y2 Y = and

(a) Show that the joint distribution of Y1, Y2 and Y3 is given by

Y3 X+X2+x3. X + X2 + X3

Y = X1 X1+X2+ X3 X + X2 Y2 Y = and Y3 X+X2+x3. X + X2 + X3

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