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* (chihw on HW2Q3) One discussion example: Here is the first step I tried: Break the integration into two separate parts | * (chihw on HW2Q3) One discussion example: Here is the first step I tried: Break the integration into two separate parts | ||
| − | <math>\int_{y=-\infty}^\infty e^{-0.1y}f_Y(y)\left(\int_{x=-\infty}^\infty e^{-0.1x}f_X(x)dx\right)dy</math> | + | <math>\int_{y=-\infty}^\infty\int_{x=-\infty}^\infty e^{-0.1(x+y)}f_X(x)f_Y(y)dxdy=\int_{y=-\infty}^\infty e^{-0.1y}f_Y(y)\left(\int_{x=-\infty}^\infty e^{-0.1x}f_X(x)dx\right)dy</math> |
Revision as of 06:25, 23 January 2009
Discussion for HW2
- (chihw on HW2Q3) One discussion example: Here is the first step I tried: Break the integration into two separate parts
$ \int_{y=-\infty}^\infty\int_{x=-\infty}^\infty e^{-0.1(x+y)}f_X(x)f_Y(y)dxdy=\int_{y=-\infty}^\infty e^{-0.1y}f_Y(y)\left(\int_{x=-\infty}^\infty e^{-0.1x}f_X(x)dx\right)dy $
