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Let Y X1 X2

Let Y = X1 + X2 + · · · + X15 be the sum of a random sample of size 15 from the distribution whose pdf is f(x) = (3/2)X2, −1 < x < 1. Using the pdf of Y, we find that P(−0.3 ≤ Y ≤ 1.5) = 0.22788. Use the central limit theorem to approximate this probability

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