# Question: i need a little more help with this question give...

###### Question details

I need a little more help with this question:

**Give an unbiased estimate of the variance of the
estimator. (This may be compared to the value of the simpler
alternative estimator.)**

Here is the previous information to help with the problem.

An unequal probability sample of size 3 is selected from a population of size 10 with replacement. The y-values of the selected units are listed along with their draw-by-draw selection probabilities: y1 = 3, p1 = 0.06; y2 = 10, p2 = 0.20; y3 =7, p3 =0.10.

The population total using the Hansen–Hurwitz estimator is 56.667

The variance of the estimator is 44.444

The population total using the Horvitz–Thompson estimator is: Pi 1 = .1694, Pi 2 = .488, Pi 3 = .271, Population = 64.03