Page 151, 2.7.7.* Let X1,X2,X3 have the joint pdf f(x1, x2, x3) = 6,0 < x1 < x2 < x3 < 1, = 0 elsewhere. Find the joint pdf of Y1 = X1/X2, Y2 = X2/X3,Y3 = X3 and show that they are mutually independent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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Please answer page 151, 2.7.7.
Page 151, 2.7.7.* Let X1,X2,X3 have the joint pdf
f(x1, x2, x3) = 6,0 < x1 < x2 < x3 < 1, = 0 elsewhere.
Find the joint pdf of Y1 = X1/X2, Y2 = X2/X3,Y3 =
X3 and show that they are mutually independent.
Transcribed Image Text:Page 151, 2.7.7.* Let X1,X2,X3 have the joint pdf f(x1, x2, x3) = 6,0 < x1 < x2 < x3 < 1, = 0 elsewhere. Find the joint pdf of Y1 = X1/X2, Y2 = X2/X3,Y3 = X3 and show that they are mutually independent.
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