For the population {0, 1, 2, 3, 5, 7},
(i) List all the simple random samples of size 5.
(ii) Give an example of a systematic sample of size 3 where the elements are listed in
the order : 0, 1, 2, 3, 5, 7.
(iii) Give an example of a proportional stratified sample of size 3 where the strata are
{0, 1, 2, 3}, {5, 7}.
(iv) Give an example of a cluster sample size of 2 where the clusters are {0, 1}, {2,3},
{5, 7}.