is my solution correct to q1 part d ? if it is incorrect can you please provide a written solution.

Question 1 part d:

It is often desirable for the mean and variance of a random variable to be unrelated

(e.g., normal distribution). This is clearly not true for the Poisson, but a suitable

transformation could ameliorate this problem. Suggest and justify an estimator

for the transformation h(?) =??, and determine its asymptotic distribution including the variance.

\f\f