Merrill Kim Sharp has a system composed of three components in parallel. The components have the following reliabilities: R1 0.87, R2 0.92, and R3 0.84. The overall reliability of the system- % enter your response as a percentage rounded to two decimal places

Merrill Kim Sharp has a system composed of three components in parallel. The components have the following reliabilities: R1 0.87, R2 0.92, and R3 0.84. The overall reliability of the system- % enter your response as a percentage rounded to two decimal places

 

Solution

Probability of failure of system = Probability of failure of all three components simulaneously

= (1-R1)(1-R2)(1-R3)

= (1-0.87)*(1-0.92)*(1-0.84)

= 0.001664

Reiability = 1 – Probability of failure

= 1 – 0.001664

= 0.998336

= 1.00 (rounded to two decimal places)

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