The central limit theorem can be used to analyze round-off error. Suppose that the roundoff error is represented as a uniform random variable on [−1, 1]. If 100 numbers are added, approximate the probability that the round-off error exceeds (a) 1, (b) 2, and (c) 5. - In particular, how do you find the variance of this sum?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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The central limit theorem can be used to analyze round-off error. Suppose that the roundoff error is represented as a uniform random variable on [−1, 1]. If 100 numbers are added, approximate the probability that the round-off error exceeds (a) 1, (b) 2, and (c) 5.

- In particular, how do you find the variance of this sum?

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