2.5.1. Show that the random variables X₁ and X₂ with joint pdf f(x₁,72) = { 127172(1-x2) 0< <1,0<2₂ <1 elsewhere are independent.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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2.5.1. Show that the random variables X₁ and X₂ with joint pdf
ƒ(7₁, 72) = { 1271²2(1-22) 0<+1 <1,0<2₂ <1
0
elsewhere
are independent.
Transcribed Image Text:2.5.1. Show that the random variables X₁ and X₂ with joint pdf ƒ(7₁, 72) = { 1271²2(1-22) 0<+1 <1,0<2₂ <1 0 elsewhere are independent.
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