How do you derive the numbers .99928 and .9943 in part d of this question. I only need help with part d.

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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How do you derive the numbers .99928 and .9943 in part d of this question. I only need help with part d.

Thank you.

(USL- LSL)
C,
,=
60
(46- 36)
6(1.5785)
10
9.471
1.055
Hence, process capability i.e. C, is 1.055
(d)
percentage of rework = Pr{x>USL}
46-40)
=1-0{
1.5785
=1-0{3.8010}
=1-0.99928
0.00072
percentage of scrap = Pr {x < LSL}
(40-36
=1-0
1.5785
=1-¢{2.5340}
=1-0.9943
= |0.0057
Hence, the percentage of rework producing is 0.072% and the percentage of scrap producing is
0.57 %.
Transcribed Image Text:(USL- LSL) C, ,= 60 (46- 36) 6(1.5785) 10 9.471 1.055 Hence, process capability i.e. C, is 1.055 (d) percentage of rework = Pr{x>USL} 46-40) =1-0{ 1.5785 =1-0{3.8010} =1-0.99928 0.00072 percentage of scrap = Pr {x < LSL} (40-36 =1-0 1.5785 =1-¢{2.5340} =1-0.9943 = |0.0057 Hence, the percentage of rework producing is 0.072% and the percentage of scrap producing is 0.57 %.
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