Question: A certain circuit has 7 components in a line. We say that the circuit as a whole works if all of the components work. Assume

A certain circuit has 7 components in a line. We say that the circuit as a wholeworksif all of the components work. Assume that each component works with probability 0.813, and that the components are independent.

Compute the probability that first of the 7 components doesn't work,given thatthe circuit as a whole doesn't work.

Note:Calling on component"first" isarbitrary - all the component properties are i.i.d. I'm just asking for the probability that one particular pre-named component is broken.

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