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A system has two independent components. Both components must function for the system to function. The first component has 7 components that each work with probability 0.95. If at least 5 elements are working then the first component will function. The second component has 6 components that each work with probability 0.85. If at least 5 of the elements are working then the second component will function.

What is the probability the system functions? Prob =

Suppose the system is not functioning. Given that information, what is the probability the second component is not functioning? Prob =

 

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