Use the following table with the joint distribution random variable X and Y Let random variable X=1 represent an individual has a college degree, and X=0 represent do not have a college degree. Let random variable Y be the unemployment such that, Y=1 represent an individual is unemployed, and Y=0 represent employed. Round to the 0.00 decimal Pr (X, Y) Y=0 Y=1 X=0 0.51 0.08 X=1 0.37 0.04 5) What is the unemployment rate for individuals with college degrees 6) What is the probability of being unemployed 7) What is the E(Y) 8) What is the conditional probability of Y=1 given X=1 9) What is Pr( Y= 0 | X=1) 10) What is E(Y | X=1) 11) What is the var( Y | X=1) 12) Prove or describe using math (from information given) how we know X and Y are not independent