A chain is composed of identical links with reliability of 0.9. How many links must a chain have in order for its reliability to be less than 0.5? Hint: Reliability of a series system is Rs=R1*R2….*Rn, which equals 0.9 multiplied by itself n times to get less than 0.5. Hence, Rs-0.5=0.9. By applying Ln to both sides, ln(0.5)=n*Ln(0.9). Now solve for n to get the answer.
A chain is composed of identical links with reliability of 0.9. How many links must a chain have in order for its reliability to be less than 0.5? Hint: Reliability of a series system is Rs=R1*R2….*Rn, which equals 0.9 multiplied by itself n times to get less than 0.5. Hence, Rs-0.5=0.9. By applying Ln to both sides, ln(0.5)=n*Ln(0.9). Now solve for n to get the answer.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A chain is composed of identical links with reliability of 0.9. How many links must a chain have in order for its reliability to be less than 0.5?
Hint: Reliability of a series system is Rs=R1*R2….*Rn, which equals 0.9 multiplied by itself n times to get less than 0.5. Hence, Rs-0.5=0.9. By applying Ln to both sides, ln(0.5)=n*Ln(0.9). Now solve for n to get the answer.
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