I've this question:
X1,...,Xn it's a sample from a binomial distribution b(n,a). Find the maximum likelihood estimator of a and the expected value of the estimator.
I can find the MLE
Ignoring the binomial coefficient i have
I take logs and differentiate to obtain:
Upon equating to zero and solving i obtain that:
Now i must find the expected value of a but I'm very confused on how to do this. Any hint?