Let X1,..., Xn be a random sample of size n from the geometric distribution for which p is the probability of success.
(a) Use the method of moments to ?nd a point estimator for p.
(b) Use the following data (simulated from geometric distribution) to ?nd the moment estimator for p:
2 5 7 43 18 19 16 11 22
4 34 19 21 23 6 21 7 12
How will you use this information? [The pdf of a geometric distribution is f(x) = p(1 - p)x-1, for x = 1, 2,... . Also μ = 1/p.]