6. One hundred numbers are rounded to the nearest integer and then added to- gether. Assuming round-off errors are independent and identically distributed as Unif(-1/2, 1/2) random variables, use the Central Limit Theorem to show that there is about a 27% chance that the sum of the rounded numbers and the sum of unrounded numbers will differ by at most 1.
6. One hundred numbers are rounded to the nearest integer and then added to- gether. Assuming round-off errors are independent and identically distributed as Unif(-1/2, 1/2) random variables, use the Central Limit Theorem to show that there is about a 27% chance that the sum of the rounded numbers and the sum of unrounded numbers will differ by at most 1.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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