Applied Mathematics for Electrical Engineering (3130908)

Q3 (c ( ii )) Winter-2019  

The joint probability density function of two random variables $\mathrm{x}$ and $\mathrm{y}$ is given by $\mathrm{f}(\mathrm{x},\mathrm{y}) = \left\{\begin{array}{ll}\mathrm{k}(\mathrm{x}+2\mathrm{y}) ;& 0<\mathrm{x}<1 , 0<\mathrm{y}<2\\ 0 ;& \mathrm{elsewhere}\end{array}\right.$. Find the marginal density function of $\mathrm{x}$ and $\mathrm{y}$.