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Suppose that there are five numbers in a population S = [0, 1, 2, 3, 4]. Two numbers are randomly drawn from this population with

Suppose that there are five numbers in a population S = [0, 1, 2, 3, 4]. Two numbers are randomly drawn from this population with replacement .

(a) List out all the possible samples .

(b) Find the probability distribution of the sample mean X-bar.

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