In a population of shoppers there is a probability p=0.20 of that they buy compulsively. a) Construct all possible samples obtained from this population of size n=3 (with replacement) and assign their corresponding probabilities. size n=3 (with replacement) and assign their corresponding probabilities. b) Construct the mean sampling distribution using the samples from the previous section and calculate its mathematical and calculate its mathematical expectation and variance. Show that the mean is an unbiased estimator. c) Construct the sampling variance distribution using the samples in (a) and determine its mathematical (c) Construct the sampling variance distribution using the samples in (a) and determine its mathematical expectation and variance. Show that the sampling variance is a biased estimator and determine the bias.