Suppose that n = 50, and that Xi takes the value 0 with probability 0.25, the value

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Suppose that n = 50, and that Xi takes the value 0 with probability 0.25, the value 1 with probability 0.5, and the value 2 with probability 0.25.
Suppose the random variables X1, X2 ... Xn are i.i.d. and consider the average
A, ΣΗ Χ. 3D1 ΣΥ

Find the mean and variance of An, and write and sketch the p.d.f. of the approximate normal distribution.

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