Do your work in Excel and do not round the values for anything on this page.

What is the reliability of this system, where components $B$ and $D$ are backed up with like components? $A,B,C,$ and $D$ are in series.

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$\backslash$table$[[,93\%,],[,,]]$

Component A

$93\%$

$98\%$

$90\%$

$2.$ A system has $3$ components in series as shown. What is the probability that this system will fail?

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a$.$

b$.$

c$.$

$3.$ An important function is provided by a component that only has an $78\%$ reliability, the system needs to be greater than $99\%$ reliable.

How many backups are needed, not counting the original?

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What will be the reliability with this many backups

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A machine with $90\%$ reliability does the task of two older machines. If it breaks down, it is backed up by the combination of the other two machines. compute the reliability of the system.

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