Suppose that X is a discrete random variable with P(X = 0) = 2/3 θ, P(X = 1) = 1/3 θ, P(X = 2) = 2/3 (1 − θ), P(X = 3) = 1/3 (1 − θ), where 0 ≤ θ ≤ 1 is a parameter. The following 10 independent observations were taken from such a distribution: (3, 0, 2, 1, 3, 2, 1, 0, 2, 1).a. What is the Method of Moments estimator of theta?b. Calculate the probability that X=0, 1, 2, or 3 based on your estimate of theta. c. Calculate a bootstrap estimate of the standard error. d. Report a 95% confidence interval for lambda.