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#1 2008-01-03 02:34:59

coolwind
Member
Registered: 2005-10-30
Posts: 30

The pdf of Y1=X1cos(X2)

If the pdf of f(x1)=(x1)e^[(-x1^2)/2]        , x1>=0
f(x2)=1/2*pi                                            , 0<x2<2*pi

(a)Find the pdf of Y1=X1cos(X2) and Y2=X1sin(X2)
(b)Is Y1 and Y2 independent of each other?


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