Exercise 4. Expectation and Variance [2 points] Prove the following statements: [ 1pt each] 1. Let X be a discrete random variable that takes on the values 1 and 0 with probabilities P(X=1)=p and P(X=0)=1p, respectively. then E(X)=E(X2) 2. If X and Y are independent real-valued random variables, then Var(X+Y)=Var(X)+Var(Y)