Let the state space 9 = {1, 2, 3, 4, 5, 6}. Let X, Y, Zbe 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 numberi2, 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: [:1 The variances of X and Y are equal. [:1 K and Y are independent. C] K and Z are independent. [:1 K and Y are negatively correlated C] K + Y has larger variance than X