Problem 3.1: Reliability. Suppose that I have the following three-step system, with the listed reliabilities: Step...

Problem 3.1: Reliability. Suppose that I have the following three-step system, with the listed reliabilities:

Step 1: .60 Step 2: .90 Step 3: .80

1a) I have to run the system two times in a row, and all steps must work both times. What is its reliability?

1b) Suppose that I have the following two upgrades in mind:

Option A: The system will still work as long as it is reliable at least one of the two times.

Option B: The system must still work both times, but I’ve added a backup to Step 3 that also has reliability of 0.8.

Assume that cost is not a factor: which gives me better reliability?

Expert Solution

1.a) The reliability in this case is found out as 0.187

1.b) Option A : The reliability in this case is found out as 0.677

Option B : The reliability in this case is found out as 0.269

So option a gives more reliability.

All the steps and calculations for the above solutions are given below :

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keosha answered 5 months ago

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