If the reliability of each and every component shown in R1, R2, R3, R4 and R5 are reduced by 15% (for example, R2 becomes 0.8), calculate the total reliability of the system. As done
If the reliability of each and every component shown in R1, R2, R3, R4 and R5 are reduced by 15% (for example, R2 becomes 0.8), calculate the total reliability of the system. As done
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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Consider Solved Problem 17.2 given in the textbook. If the reliability of each and every component shown in R1, R2, R3, R4 and R5 are reduced by 15% (for example, R2 becomes 0.8), calculate the total reliability of the system. As done in the solved example, be sure to show all steps. NOTE: You should not redraw the diagram.
Solved 17.2
A recent engineering change at Sullivan Wrist Calculator places a backup component in each of the two least reliable transistor circuits. The new circuits will look like the following:
What is the reliability of the new system?
Solution attached
![R₁
.90
.90
Reliability =
=
=
2
= .903
R₂
.95
R3
.98
R4
.90
.90
R5
.99
[.9+(1.9) × .9] × .95 × .98 × [.9 + (1 - .9) × .9] × .99
[.9+.09] x .95 x .98 x [.9+.09] × .99
.99 x .95 x .98 × .99 × .99](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f7724be-3940-44be-8101-e588f962a8cd%2F9b152ba2-5db1-4c5e-afea-ccc56bc6e20d%2Fzt381oe_processed.png&w=3840&q=75)
Transcribed Image Text:R₁
.90
.90
Reliability =
=
=
2
= .903
R₂
.95
R3
.98
R4
.90
.90
R5
.99
[.9+(1.9) × .9] × .95 × .98 × [.9 + (1 - .9) × .9] × .99
[.9+.09] x .95 x .98 x [.9+.09] × .99
.99 x .95 x .98 × .99 × .99
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