Question: Given the following very simple population distribution, construct the theo retical sampling distribution for the sample mean based on three independent observations from the population.

Given the following very simple population distribution, construct the theo¬

retical sampling distribution for the sample mean based on three independent observations from the population.

x P{X = x)

9 1/6 6 1/2 3 1/3

[Hint-. Enumerate the possible combinations of events for samples of size 3, and then translate these into values of the sample mean.]

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