Example 9:33. If X and Y are independent Gamma variates with parameters µ and vrespectively, show that the variables U = X + Y, Z =X+Yare independent and that U is aY (µ + v) variate and Z is a B1(µ, v) variate.

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Answered: Example 9:33. If X and Y are…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

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Example 9:33. If X and Y are independent Gamma variates with parameters µ and v respectively, show that the variables U = X + Y, Z = X +Y are independent and that U is a Y (u + v) variate and Z is a B,(u, v) variate.