You are going to sample from three items labeled A, B and C. You will sample by

Question

You are going to sample from three items labeled A, B and C. You will sample by flipping a coin. Specifically you will flip the coin and if it is heads you will pick item A. If the flip is tails you will flip the coin again and if it is heads you will pick item A. If the flip is tails you will flip the coin again and if the second flip is heads you will pick item B and if it is tails you will pick item C. Is this a probability sample? Why or why not? Is this a simple random sample? Why or why not? Are you sampling with replacement or without replacement? Explain.

Explanation / Answer

a. This is a probability sample as there is probability associated with sampling.

b. This is a simple random sampling as the method of selecting samples is random.

c. This is a sampling without replacement as a sample drawn is not replaced before drawing other sample.

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