Probability Theory 2

True or False

I. Write A if the statement is correct, B otherwise. 1. In general, E(XY) = E(X) E(Y). 2. If Covariance is zero, then the correlation coefficient is 0. 3. If X and Y are independent, then it follows that Cov(X, Y) =0. 4. If Cov(X,Y) = 0, then X and Y are independent. 5. If X and Y are independent, then p(X, Y) = 0. 6. Variance is always positive. 7. Uncorrelated variables are independent. 8. Independent random variables are uncorrelated. 9. Var(aX + b) = a Var(X) 10. The correlation coefficient ranges from 0 to 1