Let X be a continuous random variable with density function f(x) 3/2 x ² -1 ≤ x ≤ 1. Sketch this density function. Use the central limit theorem to sketch the approximate density function S = X ₁ + ... + X ₅₀ where X _i is independent variables with density f. Similarly, sketch the approximate density functions of S/50 and S/Sqrt 50 for each sketch, label at the least three points on the horizontal axis.

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The density function of a random variable X is The sketch of the density fun... View the full answer