Consider a population of size N = 5 containing the values {0,1,2,3,4}. Suppose we choose a simple random sample of size n = 3. Let p be the population mean and 02 its variance. (3) What is the probability distribution function of the sample mean 3 ? (b) Prove that E(g) = p. (c) Prove that 2 _ or N n W?!) n ( N _ 1 )