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Question Number 94500 by i jagooll last updated on 19/May/20

what is E(X) if the joint  density function of X and Y   is given f(x,y) =  { ((24xy , 0<x<1,0<y<1−x)),((0 , elsewhere)) :}

$$\mathrm{what}\:\mathrm{is}\:\mathrm{E}\left(\mathrm{X}\right)\:\mathrm{if}\:\mathrm{the}\:\mathrm{joint} \\ $$ $$\mathrm{density}\:\mathrm{function}\:\mathrm{of}\:\mathrm{X}\:\mathrm{and}\:\mathrm{Y}\: \\ $$ $$\mathrm{is}\:\mathrm{given}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:=\:\begin{cases}{\mathrm{24xy}\:,\:\mathrm{0}<\mathrm{x}<\mathrm{1},\mathrm{0}<\mathrm{y}<\mathrm{1}−\mathrm{x}}\\{\mathrm{0}\:,\:\mathrm{elsewhere}}\end{cases} \\ $$

Answered by john santu last updated on 19/May/20

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