Let us consider a population of size N = 5 containing the values {0.1,2,3,4}. Suppose that we choose a simple althical sample of size n = 3. Let be the average of the population and 2 its variance.

(a) What is the exemplary distribution function of the average of the sample y?

(b) to display that E (Y) =

(c) to show that V (y) = (2/n)((N-n)/(N-1))