Please answer E, F, and G.

Two firms X and Y can win either zero, one or two contracts in a given year with the following joint probability distribution: a) Find the marginal distribution for X and the marginal distribution for Y. Use these marginal distributions to calculate E(X) and E(Y). b) Construct the conditional probability distribution for Y when X=0. Use this distribution to calculate E(YX=0) c) Construct the conditional probability distribution for Y when X=1. Use this distribution to calculate E(YX=1) d) Construct the conditional probability distribution for Y when X=2. Use this distribution to calculate E(YX=2) e) What is the nature of the relationship between X and Y based on your analysis of the conditional expected values that you found in b), c) and d)? f) Demonstrate that the law of iterated expectations by calculating the following using your work from a) -d) above: Ex(E(YX))=i=13E(YXi)P(Xi) Does it hold? g) Calculate the covariance and correlation between X and Y. Two firms X and Y can win either zero, one or two contracts in a given year with the following joint probability distribution: a) Find the marginal distribution for X and the marginal distribution for Y. Use these marginal distributions to calculate E(X) and E(Y). b) Construct the conditional probability distribution for Y when X=0. Use this distribution to calculate E(YX=0) c) Construct the conditional probability distribution for Y when X=1. Use this distribution to calculate E(YX=1) d) Construct the conditional probability distribution for Y when X=2. Use this distribution to calculate E(YX=2) e) What is the nature of the relationship between X and Y based on your analysis of the conditional expected values that you found in b), c) and d)? f) Demonstrate that the law of iterated expectations by calculating the following using your work from a) -d) above: Ex(E(YX))=i=13E(YXi)P(Xi) Does it hold? g) Calculate the covariance and correlation between X and Y