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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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