Page 348, 5.3.10.* Forty four measurements are recorded to several decimal places. Each of these 44 numbers is rounded off to the nearest integer. The sum of the original 44 numbers is approximated by the sum of these integers. If we assume that the errors (difference between the true reading and the round off reading) made by rounding off are iid and have a uniform distribution over the interval (-1/2, 1/2), compute approximately the probability that the sum of the integers is within one units of the true sum.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Page 348 5.3.10
Page 348, 5.3.10.* Forty four measurements are
recorded to several decimal places. Each of these
44 numbers is rounded off to the nearest integer.
The sum of the original 44 numbers is
approximated by the sum of these integers. If we
assume that the errors (difference between the
true reading and the round off reading) made by
rounding off are iid and have a uniform distribution
over the interval (-1/2, 1/2), compute
approximately the probability that the sum of the
integers is within one units of the true sum.
Transcribed Image Text:Page 348, 5.3.10.* Forty four measurements are recorded to several decimal places. Each of these 44 numbers is rounded off to the nearest integer. The sum of the original 44 numbers is approximated by the sum of these integers. If we assume that the errors (difference between the true reading and the round off reading) made by rounding off are iid and have a uniform distribution over the interval (-1/2, 1/2), compute approximately the probability that the sum of the integers is within one units of the true sum.
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