PROBLEM 9E

Let X and Y have a uniform distribution on the set of points with integer coordinates in S = {(x, y) : 0 ≤ x ≤ 7, x ≤ y ≤ x + 2}. That is, f (x, y) = 1/24, (x, y) ∈ S, and both x and y are integers. Find

Step 1 of 6 :

Given that X and Y are uniformly distributed with f(x,y)=;0xyx+2 on the set of points on the integer coordinate S={(x,y),0xyx+2}.The given uniform distribution is a discrete uniform distribution, since the set S has only a finite number of outcomes with equal probability.