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 reability 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 acamera.

Question

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 reability 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 acamera.