Let $X_1, . . . , X_n$ be a random sample from the following distribution with parameter $\lambda$ and pdf:$f(x|\lambda ) = \lambda e^{−\lambda(x−2)}, x >2$.
I found the MLE to be $\displaystyle \lambda=\frac{n}{\sum x_i-2}$
The next question then asks if this estimator is unbiased.
How do I work on this?