Let x1...Xn ~ iid geo(theta) as usual the pmf is f(x)= theta (1- theta)^x and E(x)=(1-theta)/theta)

a.find the mom estimator for theta hat for theta. b. Use the weak law of large numbers to get an asymptomatic limiting value for x

c. Using redults from b Arthur that the MOM theta hat is a consistent estimator for the unknown theta. d. Use the central limit theorem to get an asymptomatic distribution result involving X bar. e. Using the delta method and results from d obtain a limiting distribution for the mom theta hat.