2.4.1. Show that the random variables X, and X2 with joint pdff(x1, r2) = { 1201 *2(1- 2) 0 < x1 < 1, 0< x, < 112x122(1 – x2) 0< x1 < 1, 0 < x2 < 1elsewhereare independent.

Here Marginal pdf of X1 = f(x1) =f(x1)=∫01f(x1,x2) dx2 =∫0112x1x2(1-x2) dx2 =∫0112x1(x2-x22)dx2…

Answered: 2.4.1. Show that the random variables…

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2.4.1. Show that the random variables X1 and X2 with joint pdf f(21, #2) = { 0 1212(1- 2) 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 29E

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2.4.1. Show that the random variables X, and X2 with joint pdf
f(x1, r2) = { 1201 *2(1- 2) 0 < x1 < 1, 0< x, < 1
12x122(1 – x2) 0< x1 < 1, 0 < x2 < 1
elsewhere
are independent.

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