Given 3 independent identically distributed observations X1 = 1, X2 = 3 and X3 = 2. It is known that their distributions have a finite second moment. a. What is the method of moments estimator for E(X)? b. What is the method of moments estimators for exp(E(X)) and V ar(X)? c. Please construct a 90% confidence interval for E(X), using the method of moment. d. Please construct a 90% confidence interval for exp(E(X)), using the method of moment.

Normal and t quantiles: You must clearly indicate which quantile(s) are used in your solutions. z0.90 = 1.28, z0.95 = 1.645, z0.975 = 1.96 t3,0.90 = 1.64, t3,0.95 = 2.35, t3,0.975 = 3.18 t2,0.90 = 1.88, t2,0.95 = 2.92, t2,0.975 = 4.30