lat X be the distribution of results obtained on a multitude

lat X be the distribution of results obtained on a multitude of individual spins of the spinner shown here. Let V be the distribution of means of groups of 100 successive spins and W be the distribution of means of groups of 200 successive spins. Let Z be the distribution of means of groups of 500 successive spins. Which of distributions X, Y, W, and Z are normal?

Solution

OPTION 2: Y, W, AND Z

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This is because the central limit theorem caters only for the DISTRIBUTION OF MEANS, not the distirbution itself. Thus, X does not satisfy the central limit theorem, so only X is not included in the answer.