Question: Independent samples are taken of a random variable X. If the PDF of X is uniform over the interval [1 / 12, 1 / 12)

Independent samples are taken of a random variable X. If the PDF of X is uniform over the interval [–1 / √12, 1 / √12) and zero elsewhere, then approximate the density of the sample mean with a normal density, assuming the number of samples is large. Write the approximation as an equation.

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