V4

1 (12 pts.) Answer whether the following statement is TRUE or FALSE. (a) [3 pts.] If the random variable X is constant, the expectation of X is always zero. (b) [3 pts.] If the random variable X is constant, the variance of X is always zero. (c) [3 pts.] If two random variables are independent, they always have zero covariance. (c) [3 pts.] If two random variables have zero covariance, they are always independent