Assume a digital computer with floating decimal point carries k significant figures. Suppose twonumbers v, and v2, have been computed and are to be added; furthermore, assumevị =n1 + X1,V2 =N2 + X2,where n1 and n2 are the rounded numbers and X1, X2 are the rounding errors. We can take X1 andX2 then to be independent uniform (-¿, }) and the rounding error in the sum vị + v½ is X1 + X2.Find the density function for X1+X2.

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Assume a digital computer with floating decimal point carries k significant figures. Suppose two numbers vų and vz; have been computed and are to be added; furthermore, assume vị =n1 + X1, Vz =12 + X2, where n1 and n2 are the rounded numbers and X1, X2 are the rounding errors. We can take X1 and X2 then to be independent uniform (-¿, }) and the rounding error in the sum vị + v½ is X1 + X2. Find the density function for X1+X2.

Assume a digital computer with floating decimal point carries k significant figures. Suppose two numbers vų and vz; have been computed and are to be added; furthermore, assume vị =n1 + X1, Vz =12 + X2, where n1 and n2 are the rounded numbers and X1, X2 are the rounding errors. We can take X1 and X2 then to be independent uniform (-¿, }) and the rounding error in the sum vị + v½ is X1 + X2. Find the density function for X1+X2.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 51E

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