# Proof question on maximum likelihood estimator

Let $Y$ be independent and identically distributed normal with mean $2\mu$ and variance $16$.

Show that $\frac{\bar y}{2}$ is the maximum likelihood estimator of $\mu$.

• As a routine textbook type question, this counts as self-study. Please add the self-study tag and review its tag wiki info. With that in mind, what have you tried, and where does your difficulty lie? Feb 9, 2014 at 0:40