The central limit theorem can be used to analyze round-off
Chapter , Problem 12(choose chapter or problem)
The central limit theorem can be used to analyze round-off error. Suppose that the round-off error is represented as a uniform random variable on \(\left[-\frac{1}{2}, \frac{1}{2}\right]\). If 100 numbers are added, approximate the probability that the round-off error exceeds
(a) 1,
(b) 2, and
(c) 5.
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