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5. Let the joint probability density function of X and Y be given by, f(x,y) =...

5. Let the joint probability density function of X and Y be given by, f(x,y) = 0 otherwise (a) Find the value of A that makes

5. Let the joint probability density function of X and Y be given by, f(x,y) = 0 otherwise (a) Find the value of A that makes f (x, y) a proper probability density function (b) Calculate the correlation coefficient of X and Y. (c) Are X and Y independent? Why or why not?
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) fo psobability density funelion 6 刀 2- A -T A TTmarainal psobability densities ed n sinlT9 ( Sin(M)小 - TSin(my) ( (05 (12) TT sin(TTY) xy) dy A sin(TTX) Sin(T14) dyTr .x and y Independent b) covwelation cocfficient of x and y is fy 叭Y Cov(X,y) Rxy(X,y) ECX)ECY) in dependent

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