Choose all the statements that are true.

A: If X and Y are independent random variables with finite means then E[X+Y] = E[X] + E[Y].

B: If X is a random variable with a finite second moment then E[X^2] = (E[X])^2.

C: If X is a random variable then its expectation is either finite or infinite.

D: If X and Y are random variables with finite means then E[X+Y] = E[X] +E[Y].

E: If X is a random variable with a finite expectation then E[2X+1] = 2E[X] +1

F: If X and Y are random variables with finite means then E[XY] = E[X]E[Y].