Problem 6. (10 POINTS) SIMPLE RANDOM SAMPLING This problem will test your basic understanding of simple random sampling. Let P = {1,...,N} be the target population, and S = {$1,..., sn} a simple random sample from P. Compute the following and show your work. (a) (2 points) P(s = N),..., P(sn = N). (b) (2 points) P(the Nth population unit is in the sample). (c) (2 points) E[81]. (d) (2 points) P(8 = N, 82 = 1). (e) (2 points) P(s = i, for all i = 1,...,n).