A population consists of values 1, 2, 2, 3, 4, 4, 6, 7, 7 and 8. Draw all possible samples of size 3 from this population and construct the sampling distributions of sample median and proportion of prime number in the sample. Check which of the estimators are unbiased for their population counterpart. Also compute variance of each estimator. What will be the variance of sample proportion of prime numbers if samples of size 4 are drawn?.