1. )If the joint probability density of X and Y is given by

f(x,y)=24xy, if 0<x<1, 0<y<1, x+y<1

and 0 elsewhere

Find P(X+Y<1/2)

2.)Find the joint probability density of the two random variables X and Y whose joint distribution function is give by

F(x,y)=(1-e^(-x^2))(1-e^(-y^2)) if x>0, y>0

and 0 elsewhere