Please proof theorem with full working

* is denoted FCy ) - P( yay ) So -0 my mom (as yab ) - S' fG )dy Contin ) joint deity fundon flake) Multivariate Probability distributions Moments of Continuos RY M Distahuban E[X ] - S. 5 x S (xx) dady Morgnal Density Functions M... . . conditional discrete MATH 4/530 - Test 3 IV. (5 points) Show the following theorems for conditional expectations. Theorem 1: Let Y, and Yz denote random variables. Then E(Y,) = E[E(Y, |Y2)] where on the right-hand side the inside expectation is with respect to the conditional distribution of Y, given Y', and the outside expectation is with respect to the distribution of 12 - Theorem 2: Let Y, and Yz denote random variables. Then V(Y, ) = E[V(Y, IY2)] + VIE(Y,IY2)]