A geometric distribution has a pdf given by P(X=x) = p(1-p)^x,
where x = 0, 1, 2, ..., and 0 < p < 1. This form of the
geometric starts at x = 0, not at x = 1. Given are the following
properties:
E(X) = (1-p)/p, and Var(X) = (1-p)/p^2
A random sample of size n is drawn; the data are X1, X2, ...,
Xn.
A. Derive the Fisher information function for the parameter
p.
B. Find the Cramér-Rao...