<h2>Answer with explanation:</h2>
Consider a sampling distribution with p equals 0.12 and samples of size n each.
Then, formula for mean = p
Formula for standard deviation=
(a) For a random sample of size n equals 5000.
Mean = 0.12
Standard deviation=
(b) For a random sample of size n equals 1000.
Mean = 0.12
Standard deviation=
(c) For a random sample of size n equals 500.
Mean = 0.12
Standard deviation=