Answered: In real life computation, we can only…

Name: In real life computation, we can only round irrational numbers to cert
Uploaded: 2024-03-20T06:38:44.000Z
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Description: In real life computation, we can only round irrational numbers to certain number of decimal places, such as pi = 3.141592654 and e = 2.718281828. If we round the numbers to five decimal places, we have π' = 3.14159 and e' = 2.71828. For any real nu

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In real life computation, we can only round irrational numbers to certain number of decimal places, such as pi = 3.141592654 and e = 2.718281828. If we round the numbers to five decimal places, we have π' = 3.14159 and e' = 2.71828. For any real number x, we round it up/down to five decimal places, denoted by x', so the error e = x - x' is induced.

Assume we have 10000 x's in five decimal places, use CLT to determine the integer k, such that we are 99.74% sure that the absolute value of the sum of 10000 errors is less than k x standard deviation of the sum of 10000 errors(Round your result up/down in 7 decimal places during calculation)

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