Let the state space ? = {1, 2, 3, 4, 5, 6}. Let X, Y, Z be three random variables. X = 1 if the state is an odd number(1, 3, or 5), X = 0 otherwise. Y = 1 if the state is an even number(2, 4, or 6), Y" = 0 otherwise. Z = 1 if the state is strictly smaller than 5, Z = 0 otherwise. Recall that two random variables are independent if knowing the value of one of them does not change the probabilities for the other one. Please select all correct options: O X + Y has larger variance than X O X and Y are independent. O X and Y are negatively correlated O X and Z are independent. O The variances of X and Y are equal