Respuesta :
The only options that contain statements that are required for an independent random sample are;
Option B; Sampling must be done with replacement.
Option D; The probability of being selected second for the sample is the same as the probability of being selected third.
An independent random sample is a random sample which does not depend on any other sequence or event.
Let's look at the options;
Option A; This is not a condition required for an independent random sample because if it is independent, every individual should have equal chance as the probabilities will be independent.
Option B; This is a condition required for an independent random sample because if there is no replacement it means that the remaining probabilities will be dependent on the previous ones and we want it to be independent. Thus, there must be replacements.
Option C; Similar to explanation in Option A, there must be equal chances. Thus, this is not a requirement.
Option D; This statement is a condition required for an independent random sample because each probability has to be independent and therefore equal.
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