From Kay 821 if the joint PMF of X and Y is uniformly distri

From Kay 8.21, if the joint PMF of X and Y is uniformly distributed over the points SXY = (0,0), (1,0), (1,1), (2,0), (2,1), (2,2)), x,Y (a) Find pypxbild. (b) Find pxiy (c) Find EYlxlYla]. (d) Find Exj[Xlu)

Solution

The marginal distribution of X and Y is

The marginal distribution of X and Y is

(a)

p_Y|X[j|i]

(b)

x\\y	0	1	2
0	1/6	0	0	1/6
1	1/6	1/6	0	2/6
2	1/6	1/6	1/6	3/6
Total	3/6	2/6	1/6	1