Let f(x1, x2) = 1²e¬1(xi+x2). Let Y1 = X1 + X2 and X2 = Y2. (a) Find the joint distribution of Y1 and Y2: f(y1, y2) (b) Then compute the marginal density of Y1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let f(x1,x2) = 1²e-A(xn+x2), Let Y1 = X1 + X2 and X2 = Y2.
(a) Find the joint distribution of Y1 and Y2: f(y1, y2)
(b) Then compute the marginal density of Y1
Transcribed Image Text:Let f(x1,x2) = 1²e-A(xn+x2), Let Y1 = X1 + X2 and X2 = Y2. (a) Find the joint distribution of Y1 and Y2: f(y1, y2) (b) Then compute the marginal density of Y1
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