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A bank lobby has four video cameras positioned to view the entire lobby. Any one of the four is sufficient to monitor the lobby. Each camera...

A bank lobby has four video cameras positioned to view the entire lobby. Any one of the four is sufficient to monitor the lobby. Each camera functions independently and has a reliability of 0.90, that is, the probability of functioning is 0.90. A bank robbery takes place. Let a success (x) be defined as a camera functioning. Find the probability that the robbery was filmed at least by one camera.

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