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1. Remember a geometric distribution has density f(x) = (1 − p) ^(x−1)p , E(X) =...

1. Remember a geometric distribution has density f(x) = (1 − p) ^(x−1)p , E(X) = 1/p , and V (X) = q/p^2 .

(a) Use the method of moments to create a point estimator for p.

(b) Use the method of maximum likelihood to create another point estimator for p. (It may or may not be the same).

(c) Let a random sample be 5, 2, 6, 5, 4. Use your estimator (either) to create a point estimate for p.

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