Denote a bivariate probability density function for two rand

Denote a bivariate probability density function for two random variable X and Y as f(x,y). Let f(x,y) = x + y for {0X1 } and {0Y1}; f(x,y) = 0 otherwise.

Using this bivariate probability density function, find the Pr{ X0.5 Y0.5}.

Using this bivariate probability density function, find the marginal probability density function for X. Please denote it by f_x(x).

Solution