What is the method of moments estimate of p for the i.i.d. sample of # , $ , ... , % from a geometric distribution where P( = ) = p(1 − p)^k?
a. The method of moments estimate of p for the i.i.d. sample of X1, X2, ... , Xn from a geometric distribution is the sample mean (1/p) - 1.
b. The method of moments estimate of p for the i.i.d. sample of X1, X2, ... , Xn from a geometric distribution is the sample variance (1-p)/p².
c. The method of moments estimate of p for the i.i.d. sample of X1, X2, ... , Xn from a geometric distribution is the sample median (log(2)/log(1-p)).
d. The method of moments estimate of p for the i.i.d. sample of X1, X2, ... , Xn from a geometric distribution is the sample mode (0/p).