Question: Steve is a self-employed IT consultant. From past experience, his monthly income Y (in US $1000 ) is found to follow the Chi-square distribution with

 Steve is a self-employed IT consultant. From past experience, his monthly

Steve is a self-employed IT consultant. From past experience, his monthly income Y (in US $1000 ) is found to follow the Chi-square distribution with degrees of freedom 6. Given Y=y, his expenses X (in US $1000 ) in the corresponding month has the following conditional probability density function (pdf) : fXY(xy)={y22x0if0

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