Let X and Y have the following joint probability density function (pdf) f(x,y) = cxy²,0

Let X and Y have the following joint probability density function (pdf)<br>f(x,y) = cxy²,0 < x <y<1 ;0, e.w.<br>a. Find the constant c.<br>b. Show that if the random variables are independent or not.<br>C. Find P(X<0.5|Y=0.75)<br>d. Find E(X|Y=y).<br>e. Find E(XY).<br>

Extracted text: Let X and Y have the following joint probability density function (pdf) f(x,y) = cxy²,0 < x=""><><1 ;0,="" e.w.="" a.="" find="" the="" constant="" c.="" b.="" show="" that="" if="" the="" random="" variables="" are="" independent="" or="" not.="" c.="" find=""><0.5|y=0.75) d.="" find="" e(x|y="y)." e.="" find="">

Jun 07, 2022

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Let X and Y have the following joint probability density function (pdf) f(x,y) = cxy²,0

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