Given the function fx,r(x,y) ) = {(x² + y²) / 8 [(x² + y²)/8π x² + y²

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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Given the function
[(x² + y₂²) / 8π_x² + y² <b
ƒx,x(x, y)
= {(x²)
0
elsewhere
(a)
Find a constant b so that this is a valid joint density function.
(b)
Find P{0.5b<X² + Y² ≤ 0.8b}.
Transcribed Image Text:Given the function [(x² + y₂²) / 8π_x² + y² <b ƒx,x(x, y) = {(x²) 0 elsewhere (a) Find a constant b so that this is a valid joint density function. (b) Find P{0.5b<X² + Y² ≤ 0.8b}.
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