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}.
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