Question
Asked Feb 20, 2020
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One design for a system requires the installation of two identical components. The system will work if at least one of the components works. An alternative design requires four of these components, and the system will work if at least two of the four components work. If the probability that a component works is 0.9, and if the components function independently, which design has the greater probability of functioning?

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Expert Answer

Step 1

The first design will work if at least one of the components work, the probability is,

Statistics homework question answer, step 1, image 1

Thus, the probability of first design functioning is 0.99.

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