2. (10 points) Let X be a discrete random variable with probability mass function 0.3 3: : 72 0.6 3: : 71 P(X*$)* 0.1 92:12 0 otherwise. Let X1, . . . , Xn be an iid sequence of random variables with the same distribution as X. Let X be the sample mean (of X1, . . . , Xn.) X is greater than 0.5