5. Consider random variables X and Y of which joint and marginal probability mass function is given in Table 1. Verify that the Law of Iterated Expectations hold in this xample by computing Ex[Ey|x[Y\X]] = x=0,1 Ey|x[Y|X = x]x(x) and Ey [Y] =30,60,100 y=30,60,100 yfy (y) and compare two values. Table 1: Joint Distribution of University Degree and Annual Incomes (in thousand $) = Y = 30 Y= 60 | Y = 100 Marginal Dist. of X X = 0 X 0.24 0.12 0.04 0.40 = 1 0.12 0.36 0.12 0.60 Marginal Dist. of Y 0.36 0.48 0.16 1.00