A fair coin is tossed two hundred times. Let X i = 1 if the ith toss

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A fair coin is tossed two hundred times. Let Xi = 1 if the ith toss comes up heads and Xi = 0 otherwise, i = 1, 2, . . . , 200; X =

Calculate the central limit theorem approximation for P(|X − E(X)| ≤ 5). How does this differ from the DeMoivre-Laplace approximation?

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