Question: stats question 2. The central limit theorem can be used to analyze round-off error. Suppose that the round- off error is represented as a uniform

stats question

2. 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 [1, 1]. (i) Suppose 100 numbers are added. Use the CLT to approximate the probability that the total round-off error exceeds 7 in absolute value (that is, greater than 7 or less than -7). (ii) Suppose 100 numbers are added. Use Chebyshev's inequality to obtain an upper bound on the probability that the total round-off error exceeds 7 in absolute value. (iii) Which is closer to the true probability, the approximation in part (i) or the upper bound in part (ii)? Explain

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