Which of the following are required for an independent random sample? Check all that apply. Every time an individual is selected for the sample, each of the remaining individuals has a lower chance of being included. Sampling must be done with replacement. Every time an individual is selected for the sample, each of the remaining individuals has a higher chance of being included. The probability of being selected second for the sample is the same as the probability of being selected third.

Question

Lillianna Stanley

Mathematics

8 November, 10:39

Which of the following are required for an independent random sample? Check all that apply. Every time an individual is selected for the sample, each of the remaining individuals has a lower chance of being included. Sampling must be done with replacement. Every time an individual is selected for the sample, each of the remaining individuals has a higher chance of being included. The probability of being selected second for the sample is the same as the probability of being selected third.

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Joel Benton · Answer 1

Sample must be done with replacement.

The probability of being selected second for the sample is the same as the probability of being selected third.

Step-by-step explanation:

In an independent random sample, all members of the population have the same chance of getting selected for the sample. (therefore, the options where the remaining individuals have a lower or higher probability of being selected are wrong).

Also, to keep the probability of the individuals the same after we select the other ones, this process must be done with replacement (Otherwise we would not have independent events and the probability would vary).