Let X 1 , , X 30 be independent random variables with density f(x) 3x 2 , if 0 x 1 Use the central limit theorem to approximate P(22 X 1 X 30 23)

Question: Let X 1 , . . . , X 30 be independent random variables with density f(x) = 3x 2 , if 0 < x

Let X₁, . . . , X₃₀ be independent random variables with density f(x) = 3x², if 0 < x < 1. Use the central limit theorem to approximate P(22 < X₁ + · · · + X₃₀ < 23).

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