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The departmental photocopier has three parts A, B and C which can go wrong. The probability that A will fail during a copying session is 10-s. The probability that B will fail is 10-' if A fails and 10-5 otherwise. The probability that C will fail is 10-' if B fails and 10-5 otherwise. The 'Call Engineer' sign lights up if two or three parts fail. If only two parts have failed I can repair the machine myself but if all three parts have failed my attempts will only make matters worse. If the 'Call Engineer' sign lights up and I am willing to run a risk of no greater than 1 per cent of making matters worse, should I try to repair the machine, and why?

The departmental photocopier has three parts A, B and C which can go wrong. The probability that A will fail during a copying session is 10-s. The probability that B will fail is 10-' if A fails and 10-5 otherwise. The probability that C will fail is 10-' if B fails and 10-5 otherwise. The 'Call Engineer' sign lights up if two or three parts fail. If only two parts have failed I can repair the machine myself but if all three parts have failed my attempts will only make matters worse. If the 'Call Engineer' sign lights up and I am willing to run a risk of no greater than 1 per cent of making matters worse, should I try to repair the machine, and why?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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The departmental photocopier has three parts A, Band C which can go wrong. The probability that A will fail during a copying session is 10-$. The probability that B will fail is 10-' if A fails and 10-5 otherwise. The probability that C will fail is 10-' if B fails and 10-5 otherwise. The 'Call Engineer' sign lights up if two or three parts fail. If only two parts have failed I can repair the machine myself but if all three parts have failed my attempts will only make matters worse. If the 'Call Engineer' sign lights up and I am willing to run a risk of no greater than 1 per cent of making matters worse, should I try to repair the machine, and why?
Transcribed Image Text:The departmental photocopier has three parts A, Band C which can go wrong. The probability that A will fail during a copying session is 10-$. The probability that B will fail is 10-' if A fails and 10-5 otherwise. The probability that C will fail is 10-' if B fails and 10-5 otherwise. The 'Call Engineer' sign lights up if two or three parts fail. If only two parts have failed I can repair the machine myself but if all three parts have failed my attempts will only make matters worse. If the 'Call Engineer' sign lights up and I am willing to run a risk of no greater than 1 per cent of making matters worse, should I try to repair the machine, and why?
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