Suppose that X1, . . . , X20 are independent random

Chapter , Problem 16

(choose chapter or problem)

Suppose that \(X_{1}, \ldots, X_{20}\) are independent random variables with density functions

                                               \(f(x)=2 x, \quad 0 \leq x \leq 1\)

Let \(S=X_{1}+\cdots+X_{20}\). Use the central limit theorem to approximate \(P(S \leq 10)\).

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