Two random variables X and Y have a joint probability density function given by f(x,y) =kxy 0< or =to x< or =to 1,0 < or = to y < or equal to 1 =0 elsewhere
A). Determine the value of k that makes this a valid probability density function.
B). Determine the joint probability distribution function F(x,y)
C). Find the joint probability of the event X < or equal to 1/2 and Y> 1/2