For the population {0, 1, 2, 3, 5, 7}, (a) List all the simple random samples of size 5.

(b) Give an example of a systematic sample of size 3 where the elements are listed

in the order : 0, 1, 2, 3, 5, 7.

(c) Give an example of a proportional stratified sample of size 3 where the strata are

{0, 1, 2, 3}, {5, 7}.

(d) Give an example of a cluster sample size of 2 where the clusters are {0, 1}, {2,3},

{5, 7}.