Consider two independent random variablesX and Y:

Let fX(x) = 1 -(x/2) if 0 <=x <=2 and 0 otherwise.

Let fY (y) = 2 -2y for 0 <=y <=1 and 0 otherwise..

otherwise. Find the probability density function of Z=X + Y:

I am having problem in calculating the limits ......

Please provide some help....