myradorado21

myradorado21

Answered question

2022-04-20

Answer & Explanation

RizerMix

RizerMix

Expert2023-04-29Added 656 answers

We are given a population consisting of the five numbers 2, 3, 6, 8, and 11. We are asked to consider all possible samples of size two that can be drawn with replacements from this population. We need to find the possible samples with replacement.
A sample with replacement means that after drawing a number from the population, it is placed back in the population before drawing the next number. This means that each number in the population can be drawn more than once in a sample.
To find the possible samples with replacement, we need to consider all possible pairs of numbers that can be drawn from the population. Since we are drawing with replacement, each number can be drawn multiple times, so we have five choices for the first number and five choices for the second number. Thus, the total number of possible samples with replacement is:
5×5=25
Therefore, there are 25 possible samples of size two that can be drawn with replacements from the given population.

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