f(y) { 2ye-y^2 , y > 0         { 0, otherwise Find the G(U) transformation such that if U has a uniform distribution on the interval (0,1), G(U) has the same distribution as Y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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f(y) { 2ye-y^2 , y > 0

        { 0, otherwise

Find the G(U) transformation such that if U has a uniform distribution on the interval (0,1), G(U) has the same distribution as Y. 

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