Question 3. Suppose n > 1. Let X1, ... , Xn be i.i.d uniform on the interval (-0,0], where e > 0 is a positive real-valued parameter. Which of the following is true about the sequence of random variables 3 Zn x?? (a) As n +00, Vn(Zn - 02) converges in distribution to a normal random variable. (b) Since the uniform distribution has a support that depends on the parameter 0, we cannot conclude anything about the asymptotic distribution of Zn. (c) Since E[X] = 0, the method-of-moments estimator for 8 based on this data is always equal to 0. (d) Options (a) and (c) are true. (e) Options (b) and (c) are true. (f) None of the above. Question 3. Suppose n > 1. Let X1, ... , Xn be i.i.d uniform on the interval (-0,0], where e > 0 is a positive real-valued parameter. Which of the following is true about the sequence of random variables 3 Zn x?? (a) As n +00, Vn(Zn - 02) converges in distribution to a normal random variable. (b) Since the uniform distribution has a support that depends on the parameter 0, we cannot conclude anything about the asymptotic distribution of Zn. (c) Since E[X] = 0, the method-of-moments estimator for 8 based on this data is always equal to 0. (d) Options (a) and (c) are true. (e) Options (b) and (c) are true. (f) None of the above