A point is chosen at random from the region S in the xy-plane containing all points (x,y) such that -4 <= x <= 4, -1 <= y <= 1 and x-y >= 0 (at random means that the density function is constant on S).
(a) Determine the joint density function for x and y in S
p(x,y)=
(with p(x,y)=0 for all (x,y) not in S.)
(b) If T is a subset of S with area a, find the probability that a point (x,y) is in T.
probability =