1. (a) Derive the MLE of a2 for the normal distribution, assuming μ is known:
(b) Is it unbiased?
2. As N 1 delegates arrived at a convention, they were given successive tags numbered 0, 1, 2, 3, . . . N. In order to estimate the unknown number N, a brief walk in the corridor provided a sample of 5 tags, numbered 37, 16, 44, 43, 22.
(a) What is the MME of N? Is it biased?
(b) What is the MLE of N? Is it biased?