A certain joint probability density function is given by the formula

\[f_{XY} (xy) = \dfrac{\sqrt{\pi}}{2} x\sin (xy),\]

where \(x\) and \(y\) are drawn from the rectangle \(\big[0,\sqrt{\pi}\big]\times \big[0,\sqrt{\pi}\big].\)

Are the random variables \(X\) and \(Y\) independent?

×

Problem Loading...

Note Loading...

Set Loading...