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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.]

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